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test3-09
Course: MATH 238, Fall 2009School: University of Alabama...
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238-02: MA TEST 3 (4/17/09) 1. Use the Laplace transform to solve the initial value problem y 2y 3y = 0, y(0) = 2, y (0) = 3. 2. Use the Laplace transform to solve the initial value problem y + 4y + 3y = 3, y(0) = 0, y (0) = 0. 3. Find L1 s2 s . + 2s + 5 4. (a) Use the Laplace transform and the identity convolution to nd a formula for the solution of the initial value problem y + y 6y = f (t), y(0) = 0, y...
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238-02: MA TEST 3 (4/17/09)
1. Use the Laplace transform to solve the initial value problem y 2y 3y = 0, y(0) = 2, y (0) = 3.
2. Use the Laplace transform to solve the initial value problem y + 4y + 3y = 3, y(0) = 0, y (0) = 0.
3. Find L1
s2
s . + 2s + 5
4. (a) Use the Laplace transform and the identity convolution to nd a formula for the solution of the initial value problem y + y 6y = f (t), y(0) = 0, y (0) = 0.
(b) Let f (t) = e2t sin 5t in (a). Find y(t). (Hint: eat si...
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