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Unformatted text preview: b 9 , t < 3 , t 2 , t 3 . (b) Find the Laplace transform of f ( t ) = e t sin( 2 t ) . (c) Find the inverse Laplace transform of F ( s ) = s2 s 2 + 2 s + 10 . 3. Solve the following initial value problem using Laplace transform, y (4)16 y = 0 , y (0) = 1 , y (0) = 2 , y (0) = 0 , y (3) (0) = 0 . 4. Solve the following initial value problem, y + 6 y + 13 y = g ( t ) , where g ( t ) = b t1 , t < 1 , , t 1 . sketch the solution in time. 5. Solve the following initial value problem. y 2 y = 4 e 2 t ( t1) , y (0) = 0 , y (0) = 1 . Sketch the solution....
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 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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