3. Let's study the ODE y" -y=t, y(0) = 0, y'(0) = 0. Find the transfer function (so, the form in the s- domain where Y(s) is expressed in rational form). If this was a system the stability of which we wanted to study in this manner and we assumed that the condition about the input being bounded was met, what would you say about the stability of the system? (The answer to this problem is probably shorter that the question.)

3. Let's study the ODE y" -y=t, y(0) = 0, y'(0) = 0. Find the transfer function (so, the form in the s- domain where Y(s) is expressed in rational form). If this was a system the stability of which we wanted to study in this manner and we assumed that the condition about the input being bounded was met, what would you say about the stability of the system? (The answer to this problem is probably shorter that the question.)

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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