Question

Please help me solve this step-by-step. THANKS! (D^2-16I)y=9.6e^4x + 30e^x

Answer 1

find y. thx~

Answer 2

By the way, it is nonhomogeneous ODE...

Answer 3

Are you trying to write:
\[(D^{2}-16l)y = 9.6e^{4x} + 30e^{x}\]
?

Answer 4

yes.

Answer 5

Is D^2-16l a constant?

Answer 6

the question didn't mention that...it only says that to find a (real) general solution...

Answer 7

I only know D is d/dx (operator)

Answer 8

What does the el represent then?

Answer 9

It's a open interval...

Answer 10

Oh, that is a capital i.

Answer 11

yes, sorry I didn't type clearly^^

Answer 12

So you have:
\[\frac{d^2y}{(dx)^2} - 16Iy = 9.6e^{4x} +30e^x\]
http://www.wolframalpha.com/input/?i=d%5E2%28y%29%2F%28dx%5E2%29-16*k*y%3D9.6e%5E%284x%29+%2B+30e%5Ex