Hey guys, I'm new to the forum, so please tell if I need to set up the question in a different way :) I've tried to find an answer for this, but have struggled since our learning book is in danish, so the used terms may not be technically correct,

Anyways, how do you solve this problem in maple? 

Find the complete real solution for the differential equation system:

For the homogenous part I've found. (Is this correct?)

  , c1,c2 € R

I've tried to find an answer for the inhomogenous part but I get a really complicated result, so I doubt it's correct.

Thanks for the help :)

-Alex 

Hey guys. I've tried to find an answer for this, but have struggled since our learning book is in danish, so the used terms may not be technically correct, so sorry for poor phrasing.

Anyway, how would you solve this problem in maple?

Find a solution for the differential equation:

d⁴y/dt⁴ - 16y = u' + u

With the effect*  u(t) = e^3t + 3e^t

I've gotten this result (By hand calculation)

y(t) = 4/65*e^3t - 6/15*e^t

Thanks for the help. It's my first post, so let me know if I should do something different next time :)

-Alex

Bonus question:

How do you calculate the transfer function in maple:

H(s) = (s + 1)/(s⁴-16)

*Don't know if 'effect' is the correct term.