Find the general solution of (2x² + y)dx + (x²y - x)dy = 0​

Answers

Answer 1

Multiply the original DE by xy:

xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)

Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes

x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0

This final equation is easily recognized as separable:

dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides


Related Questions

Zoe's pizza cost $12.99. She gave a tip of $2.00.
What percent did Zoe leave as a tip?
O 9%
O 13%
O15%
O 19%

Answers

Answer:

The answer is 15%

Step-by-step explanation:

The answer is 15% because 15% of 12.99 is 2.00

Answer:

The answer is 0.15

What is the middle term of the product of (3m - 1)(m + 9)

Answers

Answer:

26m

Step-by-step explanation:

Answer:

26m

Step-by-step explanation

A 10 2/3 -inch long pipe is cut into 8 equal length pieces. How long is each piece?

Answers

Answer:

Each peice is 1 1/3 (4/3) long.

Step by step explanation:

10 2/3 divided by 8

10 2/3 = 32/3

32/3 divided by 8 = 32/3 x 1/8

32 times 1 = 32, 3 times 8 = 24 =32/24

32/24 in simplest form is 4/3 (aka 1 1/3)

Hope this helped! :)

How to model using base 10 blocks to multiply 4x16

Answers

Answer:

Step-by-step explanation:

64

Reflection. Can anyone figure this out?

Answers

Hope this helps :p

<3

Jack's bottle of lemonade contains 22.75 ounces. If he drinks 1.75 ounces with each sip, how many sips are in the bottle?

Answers

Answer:

13 sips.

Step-by-step explanation:

Divide 22.75 (total) by 1.75 (amount of oz. per sip). You are left with 13, and you can check your answer by multiplying 1.75 (amount of oz. per sip) by 13 (sips). Hope this helped!

I think you should stop cheating honey.

the set of all numbers less than or equal to -6 or greater than it equal to -2

Answers

Answer:

Step-by-step explanation:

-6 ≥ x

-2 ≤ x

I don't think you can combine this into one statement.

Your line looks something like

<---------------O                 O------------------------->

                  -6                 -2

Shade in the 2 Os. The shaded in Os  are included in the way the line looks.          


i will mark you. i need help fast thank you!

Answers

Answer:

If I'm correct it should be the second one

Step-by-step explanation:

llllllllllllllllllllllllllllllll

whats the slope intercept form of
x_2y=-16​

Answers

Answer:

No idea

Step-by-step explanation:

if you mean 2y=-16 then Y=-8

Which quadrant is negative 3 and positive 15

Answers

Answer: quadrant 3

Step-by-step explanation:

Please help AND SHOW ALL THE WORK

Answers

Answer:

oh heyyy this is the same problem ok im gonna answer it the same way lol

PLZ HELP ME WITH THIS!!! I WILL MARK BRAINLIEST!!!

Answers

Answer:

-2+2= 0

Step-by-step explanation:

he's incorrect bc 2 is greater than 0. so the sum is less than one of the numbers in the equation

one or both of the numbers could be negative

Write the number for nineteen million eight thousand

Answers

Answer:

18,008,000 that's how you write it

Answer:

19008000

Step-by-step explanation:

hope it helps :)

-6(6m + 7) = 102
Please help

Answers

Answer:

Heres ur answer m=-4

Write an equation of the line, in point-slope form, that passes through the two given points. points: (-3,18). (12,-12)​

Answers

Answer:

y = -2x + 12

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-12 - 18) / (12 + 3)

-30 / 15

= -2

Then, plug this and a point into y = mx + b and solve for b:

y = mx + b

-12 = -2(12) + b

-12 = -24 + b

12 = b

Then, plug in the slope and b into y = mx + b

y = -2x + 12 is the equation of the line

Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted to find out whether the SPF of sunscreens used by students at her school exceeds this value on average? To collect data, the author surveyed students in her introductory statistics course and found that in a sample of 52 students the mean SPF was 34.55 and the standard deviation of SPF was 20.12. The data were not strongly skewed.​


Required:

Use the Theory-Based Inference applet to find and report the 95% confidence interval for the parameter of interest.

Answers

Answer:

95% confidence interval = ( 28.9485, 40.1515 )

Step-by-step explanation:

sample size( n ) = 52

mean value ( x )= 34.55

std ( б ) = 20.12

H0 : u ≤ 30

Ha : u > 30 ( claim )

95% confidence interval for mean SPF level ( df = 51 )

= mean value ±  [tex](2.0076 + \frac{20.12}{\sqrt{52} } )[/tex]

95% confidence interval = ( 28.9485, 40.1515 )

we cannot reject H0

What is the equation of the line shown in this graph?

Answers

Answer:

-3-2/-2-(-2)=m

Step-by-step explanation:

y²-y¹/x²-x¹=m

hope this helps

Heeelpppppppp fasttttttttttttt!!!!!!!!!!!!!!!!

Answers

Thinking it’s going to be c

Which finds the solution to the equation represented by the model below?

O removing 1 x-tile from each side
O removing 3 unit tiles from the right side
O adding 3 positive unit tiles to each side
O arranging tiles into equal groups to match the number of x-tiles

Answers

Answer:

removing 1 x-tile from each side.

Step-by-step explanation:

the question is asking to isolate x and the equation is 2x = x + 3.

to isolate x subtract each side by an x-tile

Answer:

The answer is A

Step-by-step explanation:

2. Which ratio is equivalent to 5/8?

A: 9/12

B: 10/15

C: 15/24

D: 20/35

Answers

C
8 times 3 is 24 and 5 times 3 is 15.
CCCCCCCCCCCCCCCCCCCCCCCC

There are 7 roses in a vase of 12 flowers. The rest are daisies.

(a) What is the ratio of roses to daisies?

(b) What is the ratio of all flowers in the vase to daisies?

Answers

a) 7:5

b) 12:5

It’s that

Answer:

A: 7:5 B: 12:5

Step-by-step explanation:

By doing simple subtraction you can find that the remaining flowers are daisies, the rest is self explanatory. Hope this helps!

Evaluate 12.7 - x for x= 8.41

Answers

Answer:

x=  

10

429

​  

 

​  

≈2.071231518

x=−  

10

429

​  

 

​  

≈−2.071231518

Step-by-step explanation:

12.7−xx=8.41

Multiply x and x to get x  

2

.

12.7−x  

2

=8.41

Subtract 12.7 from both sides.

−x  

2

=8.41−12.7

Subtract 12.7 from 8.41 to get −4.29.

−x  

2

=−4.29

Divide both sides by −1.

x  

2

=  

−1

−4.29

​  

 

Expand  

−1

−4.29

​  

≈4.29 by multiplying both numerator and the denominator by 100.

x  

2

=  

−100

−429

​  

 

Fraction  

−100

−429

​  

≈4.29 can be simplified to  

100

429

​  

=4.29 by removing the negative sign from both the numerator and the denominator.

x  

2

=  

100

429

​  

 

Take the square root of both sides of the equation.

x=  

10

429

​  

 

​  

 

x=−  

10

429

​  

 

​  

 

Answer:

4.29 :)

Step-by-step explanation:

A robot can complete 7 tasks in 2/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?

Answers

7tasks takes the robot 6:5x2=1.2x2=2.4 which is 24min 24:7=3.4min. Which is 1task so roughly a robot can complete 60:3.4=18 in one hour

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

A robot can complete 7 tasks in 2/5 hour.

Each task takes the same amount of time.

Now,

Since, 7 tasks = 2/5 hour

So, 1 tasks = 2 / 5×7

                = 2 / 35 hour

Thus, The robot take 2 / 35 hour to complete one task.

And, 2/5 hour = 7 tasks

So, 1 hour = 7 x 5 / 2

               = 35 / 2

Thus, The robot complete 35/2 tasks in one hour.

Therefore,

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

Learn more about the fraction visit:

https://brainly.com/question/28897348

#SPJ2

Help me pls and thank you

Answers

Answer: 6

Step-by-step explanation:

Answer:

42/7 or 6

Step-by-step explanation:

First, let's start off with the top part. 6^2 is 6 times 6, which is 36. 36 + 6 = 42. Now for the bottom part, 4^2 is 4 times 4, which is 16. 3^2 is 9. 16-9=7. 42/7 is the fraction form and if you want it simplified, then it is 6.

Hope that helps!

Write the expression in standard form. 4 - 14i ​

Answers

Answer:

4 - 14i

Step-by-step explanation:

The answer is already in it standard form.

Hope this helps!

Explain why the product of 50 and 80 has three zeros when 50 and 80 each have one zero

Answers

Answer:

Because 50X80=4,000because 5*8=40because 50*80=4,000if 80x50=400 add 08X5=40 so add the 2

Step-by-step explanation:

your welcome

Two times the sum of a number and twelve is 40. What is the number?

Answers

Answer:

8

Step-by-step explanation:

n= that number

2(n+12)=40

2n+24=40

    -24  -24

2n=16

2n/2=16/2

n=8

Answer:

the number is 8

Step-by-step explanation:

2(12 + n) = 40

24 + 2n = 40

2n = 16

n = 8

A golf ball is hit on the moon so that
the height of the ball (in feet) is modeled by the
function h(x)=-2.7t^2+21.6t after t seconds.
The ball will land in t = ? seconds

Answers

I am just not sure if I did this properly. My professor hasn't really gone over when to use the range equation but I would assume range would equal the distance traveled therefore can be used for this problem. If not the how would I go about solving this? I did 1/6*9.8=1.63 for g on the moon Then used R=(Vi^2sin2theta)/g so on the moon R=((28^2)sin2*35)/1.63=452m

Please Brainliest..? thx

Which relation is a function?
A.
{(2, 3), (1, 5), (2, 7)}
B.
{(-1, 5), (-2, 6), (-3, 7)}
C.
{(11, 9), (11, 5), (9, 3)}
D.
{(3, 8), (0, 8), (3, -2)}
Reset

Answers

Answer:

b

Step-by-step explanation:

Good night girl ill see you tommorow what does he do next
A fall
B go to bed
C commit arson
or D nothing

Answers

Answer:

A. Fall

alright girl hahaha!!

Other Questions
Where do plants get the nitrogen they need to create amino acids and DNA?A. Plants get their nitrogen from nitrogen gas (N2), which moves into leaves through holes called stomata.B. Plants take up nitrates (NO3-) from the soil and convert them into ammonia (NH3).C. Nitrogen-fixing bacteria convert nitrogen gas (N2) into ammonia (NH3), and plants take up some of the ammonia (NH3) through their roots.D. Both B and C are correct.E. A, B, and C are all correct. An automobile emission testing center has six (6) inspectors and tests 50 vehicles per hour. Each inspector can inspect twelve (12) vehicles per hour. How many inspectors would the center require to have a target utilization of 90 percent? As president, John Adams tried to reduce foreign influence over the U.S. government by:A: attacking foreign countries that threatened the United States.B: ending the neutrality policies set by George Washington.C: supporting laws that limited immigrants political rights.D. refusing to allow U.S. merchants to trade overseas. Which inequality best represents that ice cream at 5C is cooler than ice cream at 4C? (3.05 Practice Test) Does any of yall know the name of this painting and its artist? Please tell me Select the correct answer. For up to how many days is it safe to consume refrigerated cooked food? A. three B. six C. seven D. ten what conjecture can you make about the sum of firs 52 positive even numbers Xenotransplantation is using nonhuman animal organs in transplantation. Many people are against this practice. What would be the best argument for why xenotransplantation should be accepted?A. There are more people on transplantation lists than donor organs so xenotransplantation can save peoples livesB. People on transplantation lists are not treated equally in that some are moved to the top of the listC. There are no antigens on the surface of nonhuman animals so there would be no rejection D. More organs can be extracted from nonhuman to accommodate more recipients 1. Chad y Paul ______________________ (put) los libros en las mochilas.2. Yo nunca _______________________ (put) mi libro en la mesa.3. Ashley _________________________ (go out) con sus amigos los viernes.4. Yo tambin ________________________ (go out) con mis amigos.5. Laura y Ron ________________________ (do) la tarea juntos.6. Yo no _______________________ (do) la tarea.7. Brannon _______________________ (has) dos perros grandes.8. Rachel y yo no _______________________________ (have) perros.9. Jessica y Connie ____________________________ (take a stroll) por el parque.10. Yo ______________________________ (take a stroll) con mi amigo, Juan.11. _______________________ (know) t el nmero de Jennifer?12. No, yo no _______________________ (know) su nmero.13. Estina y Amy no _____________________ (bring) sus libros a clase todos los das.14. Yo _____________________ (bring) mi cuaderno cuando tenemos un examen.15. John no _____________________ (know) a Jonathon.16. Yo ________________________ (know) a la madre de Orion.17. Jenna _________________________ (hears) la msica en el patio.18. Yo _____________________________ (hear) a mis vecinos por la noche.19. JoAnna, Lindsay y Karrie __________________________ (come) a clase temprano.20. Yo tambin __________________________ (come) a clase temprano.21. Nichole y Melinda ________________________ (are) muy tristes hoy.22. Yo ________________________ (am) enferma.23. Jennifer y Erin _______________________ (see) partidos en la televisin.24. Yo no ___________________ (see) el partido.25. Nagisa no ________________________ (know) dnde est Yuka.26. Kristy _______________________ (go out) con su amiga Christy los viernes.27. Yo siempre ____________________________ (tell) la verdad.28. T nunca ______________________________ (tell) la verdad. Maria ha acquistato un libro, scontato del 15%, al prezzo di 34 euro. Dopo avere letto 1/4 delle pagine del libro. Legge 2/3 delle pagine rimanenti e a questo punto le restano da leggere 104 pagine. Determina:Il prezzo del libro prima dello scontoIl numero di pagine complessive del libroLa percentuale che rappresenta il numero di pagine che restano da leggere a Maria rispetto al numero di pagine complessivo. Please help thank you so much A line passes through point (-10, 4) and has a slope of -3/2Write an equation in Ax+By=C form for this line.Use integers for A, B, and C. What are indicative acts? FORENSICS A block of cheese measuring 5 inches by 2 inches by 3 inches is coated in a very thin layer of wax. The cheese is sliced into 240 cubes with half-inch edges. How many cubes will not have any wax on them? A flagpole at a right angle to the horizontal is located on a slope that makes an angle of \large 10^\circ with the horizontal. The flagpole casts a 30-meter shadow down the slope. The angle of elevation from the tip of the shadow to the sun is \large 25^\circ. What is the length of the flagpole to the nearest tenth of a meter? Someone answer asap please The passage emphasizes the theme mostly through its development of which element or literary technique?A. charactersB. settingC. figurative languageD. imagery The top three producers of wild blueberries are New Hampshire, Massachusetts, andFloridaNew YorkMaine 8 - 2x + 4 + 8x 21 Write7as a decimal.250