. Utilizing Laplace transforms and matrix-vector formulation, solve the initial value problem yi = -2y2 + 5 sin t · u(t – 2T), y2 = -2y, with y,(0) = 0 and y2(0) = 1. The following partial fraction expansion might be useful in finding inverse Laplace transforms. As + B Cs + D – a² ' s² + w² 1 %3D (s² – a²)(s² + w²) ¯ s² where the coefficients A, B, C and D can be easily determined by considering s | = jw.

. Utilizing Laplace transforms and matrix-vector formulation, solve the initial value problem yi = -2y2 + 5 sin t · u(t – 2T), y2 = -2y, with y,(0) = 0 and y2(0) = 1. The following partial fraction expansion might be useful in finding inverse Laplace transforms. As + B Cs + D – a² ' s² + w² 1 %3D (s² – a²)(s² + w²) ¯ s² where the coefficients A, B, C and D can be easily determined by considering s | = jw.

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 70EQ

See similar textbooks