- #1
Shaybay92
- 124
- 0
Hi,
I want to verify that the form of a particular solution satisfies the following ODE:
v' + (b/m)v = u/m
with
vpart= ∫e-(b/m)(t-r) (u(r)/m) dr
where the limits are from 0 to t
So I tried to differentiate v with respect to t, in order to substitute it back into the equation. But, how do you do that when the integral is with respect to r? Is there a need to change variables? How can you do this?
Cheers
I want to verify that the form of a particular solution satisfies the following ODE:
v' + (b/m)v = u/m
with
vpart= ∫e-(b/m)(t-r) (u(r)/m) dr
where the limits are from 0 to t
So I tried to differentiate v with respect to t, in order to substitute it back into the equation. But, how do you do that when the integral is with respect to r? Is there a need to change variables? How can you do this?
Cheers