# first ODE course first quiz

• Sep 22nd 2009, 11:44 AM
jbpellerin
first ODE course first quiz
We had a quiz and there were two versions so you didn't have the same as your neighbor
I could do the other one, but the one I was assigned seemed much more difficult
Is there something I'm missing here? because I can't seem to do this one

Find the general solution of $\displaystyle xsin(x+y)y' + xsin(x+y) = cos(x+y)$
• Sep 22nd 2009, 01:46 PM
shawsend
Looks exact to me.
• Sep 22nd 2009, 11:17 PM
CaptainBlack
Quote:

Originally Posted by jbpellerin
We had a quiz and there were two versions so you didn't have the same as your neighbor
I could do the other one, but the one I was assigned seemed much more difficult
Is there something I'm missing here? because I can't seem to do this one

Find the general solution of $\displaystyle xsin(x+y)y' + xsin(x+y) = cos(x+y)$

Try a change of variable, put $\displaystyle u=x+y$, then:

$\displaystyle \frac{du}{dx}=1+\frac{dy}{dy}$

so the equation becomes:

$\displaystyle x \sin(u) u'= \cos(u)$

CB