Question

plzzzz need help ODEs

\((\cos x) (e^y -y) \frac{dy}{dx}=e^y\sin 2x \)

Answer 1

separate variables

Answer 2

\( \frac{(e^y -y)}{e^y} dy =\frac {\sin 2x}{\cos x} dx \)

Answer 3

Doesn't that look simpler?
Here... let me get that for you ...
\[\Large (1 - ye^{-y})dy = \frac{2\sin(x)\cos(x)}{\cos(x)}dx\]
better? ^_^

Answer 4

much better <3

Answer 5

so nw i only need integration by part for LHS
RHS is much simple right ?

Answer 6

Of course :)

So I take it you can do it from here?

Answer 7

yes :D
thanks all of u guys