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The solution of x^(2) (dy)/(dx) + (x-2) ...

The solution of `x^(2) (dy)/(dx) + (x-2) y = x^(2) e^(-2//x)` is

A

`xy e^(2//x) = x^(2) + c`

B

`xy e^(2//x) = x^(2)//2 + c`

C

`xy^(2) e^(2//x) = x^(2)//2 + c`

D

`2xy e^(2//x) = x^(2)//2 + c`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The solution of (dy)/(dx) + (3x^(2) y)/(1 + x^(3)) = (1+ x^(2))/(1 + x...

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  2. The solution of (dy)/(dx) + (xy)/(1 + x^(2)) = (1)/(x (1 + x^(2))) is

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

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

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  5. The solution of (dy)/(dx) + y = e^(x) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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