Who can use MatLab/Mathematica/Maple to solve this?

[hanson]

Hi all!
I have modified a bit the differential equation I posted before.
Now , it should be solvable...
Can anyone help solve the differential equation using the softwares?

 

[benorin]

Maple gives:

$$H(t) = e^{-\frac{t}{Rk}}\left( d-R\frac{a+aR^2w^2k^2-bwRk}{1+w^2R^2k^2}\right)+R\frac{a+aR^2w^2k^2-bwRk\cos(wt)+b\sin(wt)}{1+w^2R^2k^2}$$

 

[benorin]

Are you not required to know how to solve such ODEs for this class?

 

[hanson]

Actually I am working on a programming project to simulate some physical systems. And I happen need to know the solution of this ODE in order to compute the values to simulate the system. I would like to put the focus on the programming side rather than solving the ODE, that's why I would resort to those math softwares. What a shame that I've not got any knwoledege about using them. Luckily that you nice gentleman help me much! Thank you!

 

[benorin]

You're quite welcome.