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27. (2x² + y² - 3)(x dy + y dx) = (xy)³(4x dx + 2y dy) 28. xy(dy/dx)2 - (2x² + y²) dy/dx + 2xy = 0. Hint: Solve for dy/dx. 29. (xy+1)(x dy - y dx) = y²(x dy + y dx); y = 2 when x = 1. 30. y² dx + y dy = 2 cos x dx; y = 0 when x = r. 31. x dy = (xy2 - 3y) dr; y = 2 when x = 2.

27. (2x² + y² - 3)(x dy + y dx) = (xy)³(4x dx + 2y dy) 28. xy(dy/dx)2 - (2x² + y²) dy/dx + 2xy = 0. Hint: Solve for dy/dx. 29. (xy+1)(x dy - y dx) = y²(x dy + y dx); y = 2 when x = 1. 30. y² dx + y dy = 2 cos x dx; y = 0 when x = r. 31. x dy = (xy2 - 3y) dr; y = 2 when x = 2.

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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27. (2x² + y² - 3)(x dy + y dx) = (xy)³(4x dx + 2y dy) 28. xy(dy/dx)2 - (2x² + y²) dy/dx + 2xy = 0. Hint: Solve for dy/dr. 29. (xy+1)(x dy - y dx) = y²(x dy + y dx); y = 2 when x = 1. 30. y² dx + y dy = 2 cos x dx; y = 0 when x = r. (ry²-3y) dr; y = 2 when x = 31. x dy 2. =
Transcribed Image Text:27. (2x² + y² - 3)(x dy + y dx) = (xy)³(4x dx + 2y dy) 28. xy(dy/dx)2 - (2x² + y²) dy/dx + 2xy = 0. Hint: Solve for dy/dr. 29. (xy+1)(x dy - y dx) = y²(x dy + y dx); y = 2 when x = 1. 30. y² dx + y dy = 2 cos x dx; y = 0 when x = r. (ry²-3y) dr; y = 2 when x = 31. x dy 2. =
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