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3. +y =p³x dy dx

3. +y =p³x dy dx

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve 3,7 and 16

In Problems 1-24 find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution. 1. 3. dy dx dy dx 9. x 11. x +y 5. y' + 3x²y = x² 7. x²y' + xy = 1 dy dx 5y dy dx - e³x y = x² sin x + 4y = x³ - x 13. x²y' + x(x + 2)y = er 14. xy' + (1 + x)y = e¯* sin 2x 15. y dx-4(x + y) dy = 0 dy 2. + 2y = 0 dx 4.3 dy dx 10. x 6. y' + 2xy = x³ 8. y' = 2y + x² + 5 dy +12y=4 dx +2y-3 12. (1+x) dy dx xy = x + x² 16. y dx = (ye" - 2x) dy dy 17. cos x + (sin x)y - 1 dx dy 18. cos²x sin x + (cos³x)y= 1 dx 19. (x + 1) 21. dy 20. (x + 2)²: - 5 - 8y - 4xy dx 22. dr do dP dt 23. x dy dx + r sec 0 dy + (x + 2)y= 2xe-x dx + 21P = P + 4t - 2 24. (x² - 1) + (3x + 1)y = e cos A dy dx 3x + 2y = (x + 1)²
Transcribed Image Text:In Problems 1-24 find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution. 1. 3. dy dx dy dx 9. x 11. x +y 5. y' + 3x²y = x² 7. x²y' + xy = 1 dy dx 5y dy dx - e³x y = x² sin x + 4y = x³ - x 13. x²y' + x(x + 2)y = er 14. xy' + (1 + x)y = e¯* sin 2x 15. y dx-4(x + y) dy = 0 dy 2. + 2y = 0 dx 4.3 dy dx 10. x 6. y' + 2xy = x³ 8. y' = 2y + x² + 5 dy +12y=4 dx +2y-3 12. (1+x) dy dx xy = x + x² 16. y dx = (ye" - 2x) dy dy 17. cos x + (sin x)y - 1 dx dy 18. cos²x sin x + (cos³x)y= 1 dx 19. (x + 1) 21. dy 20. (x + 2)²: - 5 - 8y - 4xy dx 22. dr do dP dt 23. x dy dx + r sec 0 dy + (x + 2)y= 2xe-x dx + 21P = P + 4t - 2 24. (x² - 1) + (3x + 1)y = e cos A dy dx 3x + 2y = (x + 1)²
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