solving a differential equation

Hi guys, I want to solve a second order differential equation which is:

2*y''(t) + 6*y'(t) + 4*y(t) = f'(t) + 2*f(t)

where, f(t) = exp(-t), and t>0.

Do you have any idea how to find the expression for y(t)? I was trying to use the "dsolve" function but couldn't figure out how it works.

Please help me :)

Answer 1

[Arsalan]

I usally use matlab's ode solvers such as ode45, ode113, you need to read a bit about this.

check this page

http://www.physics.nmt.edu/~rsonnenf/phys321/matlab/Differential%20Equations%20in%20MATLAB.pdf

should be easy to code

Answer 2

[bym]

Using dsolve is pretty straightforward, I'll give the 1st and last terms:

dsolve('2*D2y ... = ... +2*exp(-t)')

you'll have to fill in the rest