Question

Diff Eq help anyone?

Answer 1

or this http://openstudy.com/updates/4fd16ab5e4b057e7d220ae39

but ill be glad to help if i can

Answer 2

I've been given an equation,
\[(t^2+5t+6)y'+(t-1)y=sint \]
And am asked to determine (without solving the equation) an interval in which the solution with given initial conditions is certain to exist.
y(-4)=99

Answer 3

I guess I'm confused because p(x) and g(x) are not discontinuous anywhere...so would the interval be -infinity to +infinity?

Answer 4

\[(t^2+5t+6)y'+(t-1)y=\sin t\]
\[(t+2)(t+3)y'+(t-1)y=\sin t\]
\[y'+\frac{(t-1)}{(t+2)(t+3)}y=\frac{\sin t}{(t+2)(t+3)}\]

Answer 5

can you see some holes if the function now?

Answer 6

Yes! I can. Thank you for pointing that out.

Answer 7

So according to the theorem, t0 needs to lie in the interval, correct?

Answer 8

i dont know the theorem you speak of