Solve the following: (a)((x+1)? – y²) – (2(x+1)y – 10(x+1)?) = 0 dx (b) (12ху? + бу + Зе"Jdx + (6х?у + 2х)dy %3D 0 (с)(2у)dx + (6х3 — ху — х)dy %3D 0 (* =4) d (d) y" + 4xy' + (4x² + 2)y = 8e-(x^2+ 2x) + 4x² + 2y %3D dx
Solve the following: (a)((x+1)? – y²) – (2(x+1)y – 10(x+1)?) = 0 dx (b) (12ху? + бу + Зе"Jdx + (6х?у + 2х)dy %3D 0 (с)(2у)dx + (6х3 — ху — х)dy %3D 0 (* =4) d (d) y" + 4xy' + (4x² + 2)y = 8e-(x^2+ 2x) + 4x² + 2y %3D dx
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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Transcribed Image Text:Solve the following:
(a)((x+1)? – y?) - (2(x+1)y – 10(x+1)?) = 0
dx
(b)
(12ху2 + бу + 3е*)dx + (бх?у + 2х)dy 3D0
(с)/(2у) dx + (бх3 - ху — х)dy 3D0
(d)
y" + 4xy' + (4x² + 2)y = 8e-(x^2 + 2x) + 4x² + 2y
(* =4 )
dx
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