1. Tardigrade
  2. Question
  3. Mathematics
  4. The solution of differential equation 2 y sin x d y+(y2 cos x+2 x) d x=0 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The solution of differential equation $2 y \sin x d y+\left(y^2 \cos x+2 x\right) d x=0$ is

Differential Equations

Solution:

$2 y \sin x d y+\left(y^2 \cos x+2 x\right) d x=0$
$\Rightarrow d\left(y^2 \sin x\right)+2 x d x=0 $
$ \Rightarrow y^2 \sin x=-x^2+c$