ODE2 - MAP2302 Test 2 (2 pts) 1. If the Laplace transform...

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Unformatted text preview: MAP2302 Test 2 (2 pts) 1. If the Laplace transform of f ( t ) is F ( s ), what is the Laplace transform of t 3 f ( t )? (2 pts) 2. Using the Method of Undetermined Coefficients and Superposition, how many sepa- rate differential equations must be solved to find a solution to 2 y 00- 3 y + 6 y = t 2 e 2 t- 5 e t sin 3 t- 2 e 2 t- 4 t 3 e t cos 3 t ? (2 pts) 3. If a solution to the equation y 00 + y = tan x is given by y p =- (cos x ) ln | sec x +tan x | , what is the general solution? (2 pts) 4. What is the Laplace transform of f ( t ) = e- 3 t cos 2 t ? (2 pts) 5. What is the inverse transform of F ( s ) = 1 s 2 +4 s +5 ? (2 pts) 6. In Chapter 4 we studied two main techniques for finding the solution to second order, nonhomogeneous differential equations with constant coefficients; one technique was the Method of Undetermined Coefficients. What was the name of the second technique? (2 pts) 7. What is the inverse transform of F ( s ) = 10 s ( s +1) 2 ?...
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This note was uploaded on 12/15/2011 for the course MAP 2302 taught by Professor Tuncer during the Spring '08 term at University of Florida.

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ODE2 - MAP2302 Test 2 (2 pts) 1. If the Laplace transform...

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