A linear system is governed by the given initial value problem. Find the transfer function H(s)for the system and the impulse response function h(t) and give a formula for the solution to the initial value problem. y" – y' – 6y = g(t); y(0) = 1,y'(0) = 8

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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A linear system is governed by the given initial value problem. Find the transfer function H(s)for the system and the
impulse response function h(t) and give a formula for the solution to the initial value problem.
y" – y' – 6y = g(t); y(0) = 1,y'(0) = 8
Transcribed Image Text:A linear system is governed by the given initial value problem. Find the transfer function H(s)for the system and the impulse response function h(t) and give a formula for the solution to the initial value problem. y" – y' – 6y = g(t); y(0) = 1,y'(0) = 8
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