Find the general solution \(\displaystyle{x}{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}-{y}={\frac{{{1}}}{{{x}^{{2}}}}}\)

Angelina Proctor

Angelina Proctor

Answered question

2022-04-13

Find the general solution
xdydxy=1x2

Answer & Explanation

ysnlm8eut

ysnlm8eut

Beginner2022-04-14Added 14 answers

Step 1
Divide the entire equation by x2
Then you get :
1xdydxyx2=1x4
So
d(yx)dx=1x4
So
yx=13x3+C
Or
y=13x2+Cx

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?