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Mathematics 376: Ordinary Differential Equations
Assignment 3
Note: This assignment consists of 5 problems of equal weight.
Due: After Unit 11
1. Find Laplace transforms for the following function
2. Find the partial fraction expansion for:
and, on this basis, find the inverse Laplace transform, L−1 {P}.
3. Find
using the convolution theorem.
4. Solve the following initial value problem
5. Given one initial condition y(0) = 0, find a value of parameter a such that the solution of the IVP
satisfies the condition y (2/π)= 1.