Question

Can someone please help me solve a higher order differential equation?
y'''' - 8y'' +16y = 0

Answer 1

I found characteristic equation r^4 -8r^2 +16 = 0. Factored this to (r^2 - 4)(r^2 - 4)=0

Answer 2

r = +/- 2, r = +/- 2.
These are repeated real solutions.

Answer 3

So I came up with y = C1e^2t + C2*t*e^2t + C3e^-2t + C4*t*e^-2t
How does that look?

Answer 4

@ganeshie8

Answer 5

i think that looks right