1.6 Problems Find general solutions of the differential equations in Prob- lems I through 30. Primes denote derivatives with respect to x throughout. 1. (x+ y)y = x - y 3. xy = y+2/xy 5. x(x + y)y' = y(x - y) 7. xy'y' x' +y 9. x'y = xy + y 11. (x - y?)y' = 2xy 12. xyy' = y +x/4x2 + y2 13. xy = y+Vx? + y? 14. yy +x = Vx? + y? 2. 2xyy' = x +2y? 4. (x - y)y' = x +y 6. (x + 2y)y' = y 8. x'y = xy +x'el 10. xyy' = x +3y
1.6 Problems Find general solutions of the differential equations in Prob- lems I through 30. Primes denote derivatives with respect to x throughout. 1. (x+ y)y = x - y 3. xy = y+2/xy 5. x(x + y)y' = y(x - y) 7. xy'y' x' +y 9. x'y = xy + y 11. (x - y?)y' = 2xy 12. xyy' = y +x/4x2 + y2 13. xy = y+Vx? + y? 14. yy +x = Vx? + y? 2. 2xyy' = x +2y? 4. (x - y)y' = x +y 6. (x + 2y)y' = y 8. x'y = xy +x'el 10. xyy' = x +3y
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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