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Using the method of undetermined coefficients , what is the modif ied form for a particular solution y, of the pi nonhomogeneous differential equation (D²+1)(D– 1)y=4x+ 5e* – 3xe*? y =A+Bx+ Cxe* + Ex²e* y =Ae*+Bx²+Ccosx+Esinx y =Ax?e* + Bx³e* + Cxcosx+ Exsinx y =A+Bx+ Cx²e* + Ex³e* none of the given choices

Using the method of undetermined coefficients , what is the modif ied form for a particular solution y, of the pi nonhomogeneous differential equation (D²+1)(D– 1)y=4x+ 5e* – 3xe*? y =A+Bx+ Cxe* + Ex²e* y =Ae*+Bx²+Ccosx+Esinx y =Ax?e* + Bx³e* + Cxcosx+ Exsinx y =A+Bx+ Cx²e* + Ex³e* none of the given choices

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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Using the method of undetermined coefficients, what is the modif ied form for a particular solution of the y pi nonhomogeneous differential equation (D²+1)(D – 1)y=4x+ 5e* – 3xe*? - A y =A + Bx+ Cxe* + Ex²e* y =Ae*+ Bx2+Ccosx+ Esinx =Ax?e* + Bx³e*+ Cxcosx+ Exsinx y =A+ Bx + Cx²e*+Ex³e* E none of the given choices
Transcribed Image Text:Using the method of undetermined coefficients, what is the modif ied form for a particular solution of the y pi nonhomogeneous differential equation (D²+1)(D – 1)y=4x+ 5e* – 3xe*? - A y =A + Bx+ Cxe* + Ex²e* y =Ae*+ Bx2+Ccosx+ Esinx =Ax?e* + Bx³e*+ Cxcosx+ Exsinx y =A+ Bx + Cx²e*+Ex³e* E none of the given choices
The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, ±3i. What is the general solution? none of the given choices ® y=(C,+C,)e=*+ (C,+Cx)cos 3x + ( ,±3x (C,+C)sin3 -3x + g+Cx)cos 3r + (C,+Cx)sin3x y=(C,+C,)e÷*. ±3x +(C,cos3x +C ,xsin3x) ® y=(c,+C,)e±*+(C;+C.)e÷"
Transcribed Image Text:The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, ±3i. What is the general solution? none of the given choices ® y=(C,+C,)e=*+ (C,+Cx)cos 3x + ( ,±3x (C,+C)sin3 -3x + g+Cx)cos 3r + (C,+Cx)sin3x y=(C,+C,)e÷*. ±3x +(C,cos3x +C ,xsin3x) ® y=(c,+C,)e±*+(C;+C.)e÷"
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