Project #47122 - Differential Equations with Laplace Transform

Just one single problem.

Write your solution on separate sheets of paper and attach them to this page before handing in. Show your work clearly.

Problem: Use the Laplace transform to solve the initial value problem given by

(t+1)y'' −(2t+3)y' +(t+2)y=(e^t), y(0)=y'(0)=0.

[Useful fact: Theorem 4.2.3 in the book states that lim s→∞ F (s) = 0 for the Laplace transform F(s) of a ‘well-behaved’ function f(t). You may assume that the solution y to the initial value problem is well- behaved.] 

Subject Mathematics
Due By (Pacific Time) 11/11/2014 01:00 pm
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