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If we use the method of undetermined coefficients, the particular solution of the following differential equation y(4) + y" = 2x sin (x) has the form

If we use the method of undetermined coefficients, the particular solution of the following differential equation y(4) + y" = 2x sin (x) has the form

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question * If we use the method of undetermined coefficients, the particular solution of the following differential equation y(4) + y" = 2x sin (x) has the form Yp (x) = Ax + Bx cos(x) yp (x) = Ax* + Bx³ + Dx cos(x) %3D +Cx sin (x) +Ex sin (x) This option This option Yp (x) = (Ax? + Bx)cos(x) Yp (x) = Ax5 + Bx* + Cx³ +(Cx² + Dx) sin (x) +Dx cos(x) + Ex sin (x) This option This option
Transcribed Image Text:Question * If we use the method of undetermined coefficients, the particular solution of the following differential equation y(4) + y" = 2x sin (x) has the form Yp (x) = Ax + Bx cos(x) yp (x) = Ax* + Bx³ + Dx cos(x) %3D +Cx sin (x) +Ex sin (x) This option This option Yp (x) = (Ax? + Bx)cos(x) Yp (x) = Ax5 + Bx* + Cx³ +(Cx² + Dx) sin (x) +Dx cos(x) + Ex sin (x) This option This option
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