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Question: inhomogeneous differential equation

Question:inhomogeneous differential equation

AlexS 10 Maple
differential-equation
February 11 2015
2

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) = e3t + 3et

 

 

I've gotten this result (By hand calculation)

y(t) = 4/65*e3t - 6/15*et

 

 

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. 
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