Let y1, y2,..., Yn be n linearly independent solutions of an nth order homogeneous ODE with constant coefficients: (an D" + ...+ a1 D+ ao)y = 0 Show that if , 2,..., y, are linearly dependent, then every constant is a solution of this ODE.

Let y1, y2,..., Yn be n linearly independent solutions of an nth order homogeneous ODE with constant coefficients: (an D" + ...+ a1 D+ ao)y = 0 Show that if , 2,..., y, are linearly dependent, then every constant is a solution of this ODE.

Name: need help with this proof Let y1, y2,..., Yn be n linearly independent
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Description: need help with this proof Let y1, y2,..., Yn be n linearly independent solutions of an nth order homogeneous ODEwith constant coefficients:(an D" + ...+ a1 D+ ao)y = 0Show that if , 2,..., y, are linearly dependent, then every constant is a solution

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

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