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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