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In Problems 1-40 solve the given differential equation by separation of variables. that div

In Problems 1-40 solve the given differential equation by separation of variables. that div

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 help me answer questions 21 and 23 I’m having a hard time .
In Problems 1-40 solve the given differential equation by separation of variables. dy dx 1. 3. dx + e³x dy = 0 dy 5. (x + 1) = x + 6 dx 7.xy' = 4y 11. 13. dy dx dx dy 21. dy dx 23. = sin 5x = ds dr = 19. y lnx dP dt ,3 x² = e3x+2y 15. (4y + yx²) dy − (2x + xy²) dx = 0 - 16. (1 + x² + y² + x²y²)dy = y² dx (17. 2y(x + 1)dy = x dx = = ( ² + ¹)² X x²y² 1 + x = dx dy adlı kS bini as il = P - p² 2. 4. dx - x²dy = 0 dy dx 6. et. 10. dy dx dy maldong 8. + 2xy = 0 dx 20. dy dx dx 12. = dy 22. 24. = (x + 1)² dy dx = dy 14. e'y = ey+e=2x-y dx dQ dt 18. x²y²dy = (y + 1) dx 2y + 3)² 4x + 5, dN dt = = 2x - y + 1 X 1 + 2y² y sin x k(Q - 70) + N = = Nte¹+2
Transcribed Image Text:In Problems 1-40 solve the given differential equation by separation of variables. dy dx 1. 3. dx + e³x dy = 0 dy 5. (x + 1) = x + 6 dx 7.xy' = 4y 11. 13. dy dx dx dy 21. dy dx 23. = sin 5x = ds dr = 19. y lnx dP dt ,3 x² = e3x+2y 15. (4y + yx²) dy − (2x + xy²) dx = 0 - 16. (1 + x² + y² + x²y²)dy = y² dx (17. 2y(x + 1)dy = x dx = = ( ² + ¹)² X x²y² 1 + x = dx dy adlı kS bini as il = P - p² 2. 4. dx - x²dy = 0 dy dx 6. et. 10. dy dx dy maldong 8. + 2xy = 0 dx 20. dy dx dx 12. = dy 22. 24. = (x + 1)² dy dx = dy 14. e'y = ey+e=2x-y dx dQ dt 18. x²y²dy = (y + 1) dx 2y + 3)² 4x + 5, dN dt = = 2x - y + 1 X 1 + 2y² y sin x k(Q - 70) + N = = Nte¹+2
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