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Choose an appropriate linear differential operator that annihilates the function 1+6x-2x4

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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Question

Choose an appropriate linear differential operator that annihilates the function
1+6x-2x4
O (D-4)
(D-5)
(D² – 6)²
O D1 D² - D²
.

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