Just the first question listed will suffice. Math 2177 Taken from Calculus: Earl

Question

Just the first question listed will suffice.

Math 2177
Taken from Calculus: Early Transcendentals for Scientists and Engineers (Chapter 16 Second-order Differentiation)
Please show each step, so that I can follow along. Any help would be greatly appreciated.   Thanks in advance!

What trial solution would you use to find a particular solution of the equation y'' + py' + qy = t^3 - t + 1 where p, q are constants? #6 What trial solution would you use to find a particular solution of the equation y'' - 2y = 1 + t + cos3t? #7 What trial solution would you use to find a particular solution of the equation ?

Explanation / Answer

since it is in the form of --> t3 - t +1

so we use y = k3t3 - k1t + k0

to find the particular solution of the given differetial equation

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