Answer item 3 only.Note: Use Homogeneous method Methods. Obtain the general solutions for each of the following differential equations. Eachmethod may only be used once. Show your complete solutions. Simplify your answers andenclose them in boxes.1. (6x?у — 6ху? +у3)dx — (4x3 — 3x?у)dy %3D02. (3х + 2y + 1)dx — (6х + 4у — 1)dy %3D 03. (D3 + 2D? – 16)y = 40e2x + 80 cos(2x)4. (D² + 6D + 8)y = 12xe-2xCSScanned with CamScarner

Answered: Image /qna-images/answer/de36480a-2d19-446f-afc9-697653f3a9d3.jpg

Answered: 3. = 40e2x + 80 cos(2x) (D3 + 2D² –…

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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Find the values of x and y by elimination method Зх - у %3D 6 2х + Зу %3D 7
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3. = 40e2x + 80 cos(2x) (D3 + 2D² – 16)y %3D |