1. (sin y — y sin x)dx + (сos x + х сos y — у)dy 3 0 %3D 2. (1— 2x2 — 2х) у' %3 4x3 + 4ху 3. (Зx cos 3x + sin 3y — 3)dx + (2у + 5)dy 3 0

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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Determine whether the given equation is exact. If exact, solve the equation. 

1. (sin y – y sin x)dx + (cos x + x cos y – y)dy = 0
%3|
2. (1 – 2x² – 2x) y' = 4x³ + 4xy
-
-
3. (Зх сos 3x + sin 3y — 3)dx + (2у + 5)dy %3D 0
||
Transcribed Image Text:1. (sin y – y sin x)dx + (cos x + x cos y – y)dy = 0 %3| 2. (1 – 2x² – 2x) y' = 4x³ + 4xy - - 3. (Зх сos 3x + sin 3y — 3)dx + (2у + 5)dy %3D 0 ||
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