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the differential equation: 3y' + 2y = = += se an appropriate particular solution. = (A + Bx) e* + (C+ Dx + Ex²)e -2z = (Ar + Bx?) e + (Ca+ Dr? + Ex) e2* - = (Ar + Bæ²) e + (Cz + Dæ² + Ez) e 2 -2r D (A + Bx) e + (C+ Dx + Ex²) e*

the differential equation: 3y' + 2y = = += se an appropriate particular solution. = (A + Bx) e* + (C+ Dx + Ex²)e -2z = (Ar + Bx?) e + (Ca+ Dr? + Ex) e2* - = (Ar + Bæ²) e + (Cz + Dæ² + Ez) e 2 -2r D (A + Bx) e + (C+ Dx + Ex²) e*

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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Given the differential equation: y" + 3y' + 2y=+会 Propose an appropriate particular solution. -2x Yp = (A+ Bx) e- +(C+ Dx + Ex) e O Yp = (Ax + Bx²) e² + (Cx + Dr² + Ex') e2 O Yp = (Ar + Bx²) e-* + (Cx + Dæ² + Ex*) e=2 %3D Yp =(A+ Bx) e + (C + Dx + Ex?) e2
Transcribed Image Text:Given the differential equation: y" + 3y' + 2y=+会 Propose an appropriate particular solution. -2x Yp = (A+ Bx) e- +(C+ Dx + Ex) e O Yp = (Ax + Bx²) e² + (Cx + Dr² + Ex') e2 O Yp = (Ar + Bx²) e-* + (Cx + Dæ² + Ex*) e=2 %3D Yp =(A+ Bx) e + (C + Dx + Ex?) e2
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