dx-x²dy )dx + (xy- dx + x²dy = dx + 2xydy -t√t² + x² tx =(y/0) + y Ө

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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#2

Solve the following equations.
(xy + y²)dx-x²dy = 0
(3x² - y²)dx + (xy-x³y-¹)dy = 0
(y² - xy)dx + x²dy = 0
(x² + y2)dx + 2xydy
dx x² + t√t² + x²
dt
tx
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
dy
de
dx
dy
dy
dx
=
=
=
0sec(y/0) + y
Ө
4y - 3x
2x - y
4x + 3y
2x + y
(x² + 3xy + y²)dx - x² dy = 0
dy
x²-3y²
dx
2xy
Transcribed Image Text:Solve the following equations. (xy + y²)dx-x²dy = 0 (3x² - y²)dx + (xy-x³y-¹)dy = 0 (y² - xy)dx + x²dy = 0 (x² + y2)dx + 2xydy dx x² + t√t² + x² dt tx 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. dy de dx dy dy dx = = = 0sec(y/0) + y Ө 4y - 3x 2x - y 4x + 3y 2x + y (x² + 3xy + y²)dx - x² dy = 0 dy x²-3y² dx 2xy
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