1. x²y' = 4x² + 7xy + 2y² 2. xdx + sin’(-) [ydx-xdy] = 0 3. xydx - (x+2y)²dy = 0 4. [x-yarctan()]dx + xarctan()dy = 0 5. (y+√x² + y²) dx - xdy = 0 when x = √√3, y = 1 I

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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Solve for the VSDE (Variable Separable DE) or HDE (DE with Homogeneous Coefficients)

1. x²y = 4x² + 7xy + 2y²
2. xdx + sin?() [ydx-xdy] = 0
3. xydx - (x+2y)²dy = 0
4.
5.
[x-yarctan()]dx + xarctan()dy = 0
2
(y+√x² + y²) dx - xdy = 0
when x = √3, y = 1
I
Transcribed Image Text:1. x²y = 4x² + 7xy + 2y² 2. xdx + sin?() [ydx-xdy] = 0 3. xydx - (x+2y)²dy = 0 4. 5. [x-yarctan()]dx + xarctan()dy = 0 2 (y+√x² + y²) dx - xdy = 0 when x = √3, y = 1 I
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