6. Given the differential equation y (4) - y" - 2y + 2y = xe* + x² cosx. (a) The associated homogeneous equation y(4) - y" - 2y + 2y = 0 has the charactersistic equation (r 1)² (r² + 2r + 2) 0. Find the general solution to this equation. = Y = Ciex tc₂xex +₂e=* cos x + C₂ e ² sim x гхе +C (b) Set up the appropriate form of a particular solution yp of the dif- ferential equation y(4) - y" - 2y + 2y = xe* + x² cosx.
6. Given the differential equation y (4) - y" - 2y + 2y = xe* + x² cosx. (a) The associated homogeneous equation y(4) - y" - 2y + 2y = 0 has the charactersistic equation (r 1)² (r² + 2r + 2) 0. Find the general solution to this equation. = Y = Ciex tc₂xex +₂e=* cos x + C₂ e ² sim x гхе +C (b) Set up the appropriate form of a particular solution yp of the dif- ferential equation y(4) - y" - 2y + 2y = xe* + x² cosx.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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