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The solution of (dy)/(dx) + y cos x = si...

The solution of `(dy)/(dx) + y cos x = sin x cos x` is

A

`y e^(sin x) = (sin x -1) e^(sin x) -x + c`

B

`y e^(sin x) = (sin x + 1) e^(sin x) + c`

C

`y e^(sin x) = (sinx -1) e^(sin x) + c`

D

`y e^(sin x) = (sin x -1) e^(sin x ) -x + c`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The solution of (dy)/(dx) + y = e^(x) is

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  2. The solution of cos x(dy)/(dx) + y = sin x is

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  3. The solution of (dy)/(dx) + y cos x = sin x cos x is

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  4. The solution of x(dy)/(dx) + 2y = x^(2) log x is

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  5. The solution of x log x (dy)/(dx) + y = 2 log x is

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  6. Let y(x) be the solution of the differential equation . (x log x) (dy)...

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  7. The solution of y dx - x dy + log x dx = 0 is

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  8. The solution of dy/dx(x + y + 1)' = 1

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  9. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

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  10. The solution of y^(2) dx + (3xy -1) dy = 0 is

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  11. The solution of dx + x dy = e^(-y) sec^(2) y dy is

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  12. The solution of (dy)/(dx) + (3)/(x) y = (1)/(x^(2)), at y=2, x=1

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  13. The solution of (dy)/(dx) + y cot x = 4x cosec x, given that y = 0, x ...

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  14. The solution of (dy)/(dx) + 2y tan x = sin x, given that y = 0, x =(pi...

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  15. The solution of (x + 2y^(3)) (dy)/(dx) = y is

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  16. Integrating factor of (x + 2y^(3)) (dy)/(dx) = y^(2) is

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  17. The solution of the differential equation y' = (1)/(e^(-y) - x), is

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  18. The solution of (dx)/(dy) + (x)/(y) = x^(2) is

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  19. The solution of (1 + y^(2)) dx = (Tan^(-1) y -x) dy is

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  20. The solution of (dy)/(dx) + (2x)/(1 + x^(2)) y = (1)/((1 + x^(2))^(2))...

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