3. = 40e2x + 80 cos(2x) (D3 + 2D² – 16)y %3D |
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer item 3 only.
Note: Use Homogeneous method
Transcribed Image Text:Methods. Obtain the general solutions for each of the following differential equations. Each
method may only be used once. Show your complete solutions. Simplify your answers and
enclose them in boxes.
1. (6x?у — 6ху? +у3)dx — (4x3 — 3x?у)dy %3D0
2. (3х + 2y + 1)dx — (6х + 4у — 1)dy %3D 0
3. (D3 + 2D? – 16)y = 40e2x + 80 cos(2x)
4. (D² + 6D + 8)y = 12xe-2x
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