Find a 1-parameter family of solutions of each of the following equa- tions. Assume in each case that the coefficient of dy # 0. 2. 2xy dx + (x² + y²) dy 3. (x+√y² 4. (x + y) dx - 5. xy' y 6. (2x²y + y³) dx + (xy² - - الام - 7. y² dx + (x√√y² y y 8. COS dx x x xy) dy (x - y) dy - = 0. y dx 0. x sin (y/x) 2x³) dy - = - = = - 0. y 9. y dx + x log dy x 10. 2ye*/y dx + (y 2xely) dy 11. (ze"= xe y sin 2) dx + x sin x x² xy) dy = 0. I sin /+cos) dy = 0. 0. 2x dy = 0. = = 0. 0. dy = 0.
Find a 1-parameter family of solutions of each of the following equa- tions. Assume in each case that the coefficient of dy # 0. 2. 2xy dx + (x² + y²) dy 3. (x+√y² 4. (x + y) dx - 5. xy' y 6. (2x²y + y³) dx + (xy² - - الام - 7. y² dx + (x√√y² y y 8. COS dx x x xy) dy (x - y) dy - = 0. y dx 0. x sin (y/x) 2x³) dy - = - = = - 0. y 9. y dx + x log dy x 10. 2ye*/y dx + (y 2xely) dy 11. (ze"= xe y sin 2) dx + x sin x x² xy) dy = 0. I sin /+cos) dy = 0. 0. 2x dy = 0. = = 0. 0. dy = 0.
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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