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28. Find a linear differential operator (of lowest order) that annihilates the given functio f(x) = x³ (1 - 5x) (A) D5 (B) Dª (C) D³ (D) D² 29. Find a linear differential operator (of lowest order) that annihilates the given functio f(x) = x² + 3xe² (A) D²(D - 2)² (B) D(D - 2)² (C) D³(D + 2)² (D) D³ (D - 2)²

28. Find a linear differential operator (of lowest order) that annihilates the given functio f(x) = x³ (1 - 5x) (A) D5 (B) Dª (C) D³ (D) D² 29. Find a linear differential operator (of lowest order) that annihilates the given functio f(x) = x² + 3xe² (A) D²(D - 2)² (B) D(D - 2)² (C) D³(D + 2)² (D) D³ (D - 2)²

Linear Algebra: A Modern Introduction
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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28. Find a linear differential operator (of lowest order) that annihilates the given function: f(x) = x³ (1 - 5x) (A) D5 (B) Dª (C) D³ (D) D² 29. Find a linear differential operator (of lowest order) that annihilates the given function: f(x) = x² + 3xe² (A) D²(D - 2)² (B) D(D - 2)² (C) D³(D + 2)² (D) D³ (D - 2)²
Transcribed Image Text:28. Find a linear differential operator (of lowest order) that annihilates the given function: f(x) = x³ (1 - 5x) (A) D5 (B) Dª (C) D³ (D) D² 29. Find a linear differential operator (of lowest order) that annihilates the given function: f(x) = x² + 3xe² (A) D²(D - 2)² (B) D(D - 2)² (C) D³(D + 2)² (D) D³ (D - 2)²
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