help:
how can you solve y ' cos x = sin(2x)

Question

help:
how can you solve y ' cos x = sin(2x)

jim_thompson5910 · Answer

isolate y' and use the idea that sin(2x) = 2*sin(x)*cos(x) and simplify

then integrate both sides with respect to x to get y

mathmale · Answer

Is that the derivative of y?  y'  ?
                                                      sin 2x
If so, would it be true that y' = ---------- ??
                                                       cos x

mathmale · Answer

Jim and I are suggesting pretty much the same thing.

mathmale · Answer

Bet you're working on simplifying that equation yourself, but if not:$$\frac{ dy }{ dx }=\frac{ 2\sin x \cos x }{ \cos x }=?$$

mathmale · Answer

@SalvadorV?  Still interested in solving this problem?  Lots of other interesting problems posted on OpenStudy, no?

mathmale · Answer

Bedtime for me.  Hope to see you on OpenStudy again.  Buenas Noches.

anonymous · Answer

sorry, I forgot to check back in this section. Thank you very much, I then solve it as $$\frac{ dy }{ dx }=2\sin x=2\cos x$$

mathmale · Answer

Very sorry for the delays, Salvador.  I've lost track of where your Laplace transform post is; can you direct me back to it by sharing the URL?

anonymous · Answer

sure, and thank you very much http://openstudy.com/study#/updates/5359aa39e4b0fb65c3cad2ec