1. Find the Laplace Transformation of the following function. First express the function in terms of u (t). Then use #12 from the Laplace table. g(t) = 3 ,0 ≤ t < 5; 10,5≤t≤8 0 ,t≥ 8. 2. Use Laplace transformation to solve the following differential equations. Make sure to show all the steps. In particular, you must show all the steps (including partial fraction and/or completing square) when finding inverse Laplace transformation. y" - y = g(t), y(0) = 0 and y'(0) = 0 Here g(t) is the same as problem #1. So you can use your results from problem #1. You do not need to repeat that part.

1. Find the Laplace Transformation of the following function. First express the function in terms of u (t). Then use #12 from the Laplace table. g(t) = 3 ,0 ≤ t < 5; 10,5≤t≤8 0 ,t≥ 8. 2. Use Laplace transformation to solve the following differential equations. Make sure to show all the steps. In particular, you must show all the steps (including partial fraction and/or completing square) when finding inverse Laplace transformation. y" - y = g(t), y(0) = 0 and y'(0) = 0 Here g(t) is the same as problem #1. So you can use your results from problem #1. You do not need to repeat that part.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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