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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...

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