Question

y'' + 4y = 8
y(0)=2, y'(0)=1
Solve the following differential equation using the Laplace transform method.

Answer 1

I know how to take the laplace transform of the left side but im not sure what to do with the 8 on the right side.

Answer 2

Just do \(8\mathcal L[1]\)

Answer 3

Oh that is right.. So it is basically 8t?

Answer 4

I guess? Can't remember the transforms.

Answer 5

actually.. 1 = 1/s so therefore it is 8/s

Answer 6

\(1=t^0\)

Answer 7

I'm looking at m formula sheet and it says 1 = 1/s

Answer 8

Thanks anyways wio!