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 .
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
Related questions
Question
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:
\[
x \sec^2(xy) dy = -[y \sec^2(xy) + 2x] dx
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78fa799e-dd0d-498f-bbc7-16121e7aabca%2F415e31d0-c571-4e9a-b6c2-a57b61efce8c%2Fjul9lde_processed.jpeg&w=3840&q=75)
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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