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

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:

How to model using base 10 blocks to multiply 4x16

Answers

Answer:

Step-by-step explanation:

64

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

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 :)

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

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

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

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

Answers

Thinking it’s going to be c

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:

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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! :)

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.

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

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

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

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:

Which quadrant is negative 3 and positive 15

Answers

Answer: quadrant 3

Step-by-step explanation:

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

Reflection. Can anyone figure this out?

Answers

Hope this helps :p

<3

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

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!!

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!

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

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!

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

Answers

Answer:

Heres ur answer m=-4

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!

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

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

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:

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