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3. y' + x?/y = 0, y(0) = 1 , dy %3D

3. y' + x?/y = 0, y(0) = 1 , dy %3D

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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dx 8. sec xy' – xy/(y + 4) = 0 9. e* (y² – 4y) dx +4 dy = 0 x²y³ + 3xy3 dy 10. dx dy 11. t dt dy = te dt 2x2y dr =r sin 0 de 12. (r2 + 1) cos 0 Solve the initial value problems in Exercises 13–16. 13. y' + x²/y = 0, y(0) = 1 dy 14. 3 dx = 2xy - y, y(2) = 1 |3D dy 15. dx 4xу y2 +4' Y(1) = 1 3.3 EXACT DIFFERENTIAL EQUA In the last section we learned how we will consider a type of equatic If we use the Chain Rule to differ- implicitly with respect to x, d F(x- dx Thus, if we have an equation of the the equation E(x, v) = C. In differ
Transcribed Image Text:dx 8. sec xy' – xy/(y + 4) = 0 9. e* (y² – 4y) dx +4 dy = 0 x²y³ + 3xy3 dy 10. dx dy 11. t dt dy = te dt 2x2y dr =r sin 0 de 12. (r2 + 1) cos 0 Solve the initial value problems in Exercises 13–16. 13. y' + x²/y = 0, y(0) = 1 dy 14. 3 dx = 2xy - y, y(2) = 1 |3D dy 15. dx 4xу y2 +4' Y(1) = 1 3.3 EXACT DIFFERENTIAL EQUA In the last section we learned how we will consider a type of equatic If we use the Chain Rule to differ- implicitly with respect to x, d F(x- dx Thus, if we have an equation of the the equation E(x, v) = C. In differ
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