y'''' + 2y'' + y = 3t + 4,

y(0)= y'(0) = 0,

y''(0) = y'''(0)=1

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- Nov 17th 2008, 05:42 PMjustin6mathhelpInitial Value Problem
y'''' + 2y'' + y = 3t + 4,

y(0)= y'(0) = 0,

y''(0) = y'''(0)=1 - Nov 17th 2008, 05:50 PMThePerfectHacker
The charachteristic equation is,

Because the roots have multiplicity it means the general solution is,

However, this only solves the equation .

To finish the solution look for a particular solution which happens to be (for example) .

Thus, the full solution is,