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Assignment5

# Assignment5 - 4 Consider the IVP y 00 y 5 4 y = g t y(0 =...

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Assignment #5 Due: At the START of tutorial on July 13, 2011. No late assignments will be accepted. 1. Find the Laplace transform of the following functions (a) f ( t ) = cos 2 ( t ) (b) f ( t ) = e - t cosh( - 5 t ) (c) f ( t ) = sin t - t cos t (d) f ( t ) = t 2 e - 4 t sin(3 t ) (e) f ( t ) = t 8 e - 5 t 2. Find L - 1 { 5 s - 7 2( s 2 +3 s +2) } . 3. Solve the IVP x 00 + 6 x 0 + 34 x = 30 sin(2 t ) , x (0) = x 0 (0) = 0
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Unformatted text preview: 4. Consider the IVP y 00 + y + 5 4 y = g ( t ) , y (0) = y (0) = 0 for g ( t ) = ± t ≤ t < π 2 π 2 t ≥ π 2 (a) Solve this IVP using the method of undetermined coeﬃcients. (b) Solve this IVP using Laplace transforms. 1...
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