Question

For this ODE problem: "Solve the differential equation y'' - 9y = 4t - δ_2(t); y() = -2, y'(0) = -1 for y(t) when 0 <= t < 2 as well as when t > 2.", could someone please tell me if I am on the right track?: http://f.imgtmp.com/FWar3.jpg

Answer 1

yes

Answer 2

Yay! Now the next problem is that I know the following formula:

L^(-1) ( e^(-cs) G(s) ) = u_c(t) * g(t - c) where L{g(t)} = G(s)

but I'm having trouble using it on the G(s)/(s^2 - 4) part of my work.

What must I do?

Answer 3

@imranmeah91, I just needed a little push in the right direction.

Answer 4

hold on, I am reviewing this stuff

Answer 5

Alright :)

Answer 6

I don't think you are using right formula, because it is a step function you are trying to take inverse laplace transform of

Answer 7

G(s)
---------
s^2-4

we will need to know what G(s) is

Answer 8

G(s) = L{g(t)} and g(t) is known.

Answer 9

@zarkon, can you help

Answer 10

If you need me to say or do something, tell me.

Answer 11

I don't think he's on his computer. :(

Answer 12

If you have a vague idea, tell me and I can try and exploit it with you.

Answer 13

@satellite73 would you be able to help with this problem by any chance?

Answer 14

Here is my latest attempt: http://f.imgtmp.com/GMNR1.jpg

Answer 15

I just realized I asked the wrong question here! I'm making another post.