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Question: Dampening coefficient ODE

Question:Dampening coefficient ODE

Maso2520 8 Maple
student
December 07 2008
0

Your job is to test several forms of dampening coefficients to determine the ``best'' to use for safety
and comfort. You are to consider a modification of the harmonic motion differential equation
my"+ b(v) y'+ ky = 0

where m is the mass of the driver, k is the spring constant, and b(v) is the variable dampening coefficient.
For the first part of the problem, assume that m = k = 1. We will also be letting v = y' .

b(v)= v^4

Solve the ODE:

y" +( y') * y' + y =0

So i get

y"+(y')+y=0

and i am having trouble solving this in maple.  any help would be much appriciated.

 
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