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9. (1 – x2) dy = 2y |D dx

9. (1 – x2) dy = 2y |D dx

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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Question 9 and 13

10. (1+x)2 dy 1.4 Problems Find general solutions (implicit if necessary, explicit if conve- nient) of the differential equations in Problems 1 through 18. Primes denote derivatives with respect to x. dy 1. + 2xy = 0 dx dy 2. + 2xy2 = 0 dx dy dy 4. (1+x)- = 4y 3. = y sin x dx dx 5. 2/x dy V1- y2 dy 6. dx 3 /xy || dx dy 7. (64ху)1/3 dx dy 8. = 2x sec y dx 9. (1 – x2) dy dx = 2y 10. (1+x)2 = (1+y)² dx %3D %3D 11. y' = xy3 12. yy' = x(y2 + 1) dy (y4 + 1) cos x dx dy 14. dx 1+ Vx 1+ /y 13. у3
Transcribed Image Text:10. (1+x)2 dy 1.4 Problems Find general solutions (implicit if necessary, explicit if conve- nient) of the differential equations in Problems 1 through 18. Primes denote derivatives with respect to x. dy 1. + 2xy = 0 dx dy 2. + 2xy2 = 0 dx dy dy 4. (1+x)- = 4y 3. = y sin x dx dx 5. 2/x dy V1- y2 dy 6. dx 3 /xy || dx dy 7. (64ху)1/3 dx dy 8. = 2x sec y dx 9. (1 – x2) dy dx = 2y 10. (1+x)2 = (1+y)² dx %3D %3D 11. y' = xy3 12. yy' = x(y2 + 1) dy (y4 + 1) cos x dx dy 14. dx 1+ Vx 1+ /y 13. у3
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