Solve (y cos x – 3x²y – 2x)dx + (2y sin x – x° + In y)dy = 0 Solve x sec (ry)dy = -[y sec (xy) +2.0]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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Diff Eqns
**Exercise 1:**

Solve the differential equation:

\[
(y^2 \cos x - 3x^2 y - 2x)dx + (2y \sin x - x^3 + \ln y)dy = 0
\]

**Exercise 2:**

Solve the differential equation:

\[
x \sec^2(xy) dy = -[y \sec^2(xy) + 2x] dx
\]
Transcribed Image Text:**Exercise 1:** Solve the differential equation: \[ (y^2 \cos x - 3x^2 y - 2x)dx + (2y \sin x - x^3 + \ln y)dy = 0 \] **Exercise 2:** Solve the differential equation: \[ x \sec^2(xy) dy = -[y \sec^2(xy) + 2x] dx \]
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