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13. x dy = (x sin x - y) dx 14. (1 + x²) dy + (xy + x³ + x) dx = 0 dy dx 15. (1 + e¹)- + e³y = 0 1

13. x dy = (x sin x - y) dx 14. (1 + x²) dy + (xy + x³ + x) dx = 0 dy dx 15. (1 + e¹)- + e³y = 0 1

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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Can someone please help me answer these problems .13 and 15
In Problems 1-40 find the general solution of the given differential equation. State an interval on which the general solution is defined. 5y 1. dy dx dy 3. 3 +12y = 4 dx 5. dy dx 7. y' + 3x²y = x² 9. x²y' + xy = 1 11. (x + 4y2) dy + 2y dx = 0 13. x dy = (x sin x - y) dx 14. (1 + x²) dy + (xy + x³ + x) dx = 0 dy dx + y = e³x 15. (1 + e) - +ey =0 dy 2. + 2y = 0 dx 4. x dy dx 8. y' + 2xy = x³ 10. y' = 2y + x² + 5 dx dy 6. dy dx 12. = + 2y = 3 = y + ex x + y 16. (1 − x³) dy dx = 3x²y 115
Transcribed Image Text:In Problems 1-40 find the general solution of the given differential equation. State an interval on which the general solution is defined. 5y 1. dy dx dy 3. 3 +12y = 4 dx 5. dy dx 7. y' + 3x²y = x² 9. x²y' + xy = 1 11. (x + 4y2) dy + 2y dx = 0 13. x dy = (x sin x - y) dx 14. (1 + x²) dy + (xy + x³ + x) dx = 0 dy dx + y = e³x 15. (1 + e) - +ey =0 dy 2. + 2y = 0 dx 4. x dy dx 8. y' + 2xy = x³ 10. y' = 2y + x² + 5 dx dy 6. dy dx 12. = + 2y = 3 = y + ex x + y 16. (1 − x³) dy dx = 3x²y 115
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