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1. xdx + sin2 y () (ydx – xdy)=0

1. xdx + sin2 y () (ydx – xdy)=0

Advanced Engineering Mathematics
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 these using differential equation with homogeneous coefficients
2 y 1. xdx+sin (ydx – xdy)=0 X 2.[x−yarctan(y/x)]dx+xarctan(y/x)dy=0 3. (x² + 2xy-4y²)dx - (x² - 8xy - 4y²)dy = 0 4. y(x² + y²)dx' + x(3x² - 5y²)dy=0 when x = 2, y = 1 5. [x-y ln y + y ln x] dx + x(ln y- ln x)dy = 0 when x = 1, y = 1
Transcribed Image Text:2 y 1. xdx+sin (ydx – xdy)=0 X 2.[x−yarctan(y/x)]dx+xarctan(y/x)dy=0 3. (x² + 2xy-4y²)dx - (x² - 8xy - 4y²)dy = 0 4. y(x² + y²)dx' + x(3x² - 5y²)dy=0 when x = 2, y = 1 5. [x-y ln y + y ln x] dx + x(ln y- ln x)dy = 0 when x = 1, y = 1
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