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Consider the Non-Homogenous differential equation: y" - 2y" - 4y' + 8y 5e +x + 3 Given that y, - Ce-2x + Cze²x + C,xe2, using the method of undetermined coefficier Y, is:

Consider the Non-Homogenous differential equation: y" - 2y" - 4y' + 8y 5e +x + 3 Given that y, - Ce-2x + Cze²x + C,xe2, using the method of undetermined coefficier Y, is:

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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Consider the Non-Homogenous differential equation: y" – 2y" - 4y' + 8y = 5e2* +x+3 Given that y, = C;e-2x + Cze²x + C,xe2x, using the method of undetermined coefficients Yp is: Yp = (Ax? + Bx)e-2x + Cx² Yp = (Ax² + Bx)e-2x +Dx + E +Cx + D O This option O This option Yp = Ax²e2x + Bxe-2x Yp = Ax?e2x + Cx+ D %3D This option O This option
Transcribed Image Text:Consider the Non-Homogenous differential equation: y" – 2y" - 4y' + 8y = 5e2* +x+3 Given that y, = C;e-2x + Cze²x + C,xe2x, using the method of undetermined coefficients Yp is: Yp = (Ax? + Bx)e-2x + Cx² Yp = (Ax² + Bx)e-2x +Dx + E +Cx + D O This option O This option Yp = Ax²e2x + Bxe-2x Yp = Ax?e2x + Cx+ D %3D This option O This option
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