## anonymous 5 years ago anyone who has studied the course differential equations ?

1. anonymous

doing so now actually

2. anonymous

have u done taylor series solution for differential equations ?

3. anonymous

yes, but i'm having some trouble with it. maybe we can figure it out together

4. anonymous

$y \prime \prime + ( \sin x ) y \prime + ( \cos x )y = 0 ; y(0)=0 , y \prime(0)= 1$

5. anonymous

6. anonymous

i'm not too sure when it's regarding trig stuff, we haven't really gotten into that. what we've done is always do $y = \Sigma (AnX^n)$, then take the first and second derivatives of it. after, plug it all back int the original equation.

7. anonymous

yes, but isn't this for the power series ? :s

8. anonymous

i'm not sure how to find it without going through the power series. and even at that, i think it'd be messy :(

9. anonymous

oh :(