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Unformatted text preview: = 6. (b) Plot cos 2 t from t = 0 to t = 6. (c) Plot [ H ( t-2)-H ( t-4)] cos2 t from t = 0 to t = 6. Think about what the step functions are doing. 4) Solve the following ODE, Frst using DSolve and then by taking the Laplace transform followed by the inverse Laplace Transform. y -5 y + 6 y = e t ; y (0) = 0; y (0) = 2 (7) 5) Invert F ( s ) = 2 s 2 + 5 1 s 3 (8) in two ways: irst, by using InverseLaplaceTransform directly. Second, by calculating the convolution integral. Calculate the inverse transforms of F ( s ) = 2 / ( s 2 + 5) and G ( s ) = 1 /s 3 individually, then calculate i t f ( t- ) g ( ) d. (9) Verify that you get the same answer....
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- Fall '08
- Chemical Engineering