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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

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

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The solution of (dy)/(dx) + y cot x = 4x cosec x, given that y = 0, x ...

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  2. The general solution of (y^(5)+x)(dy)/(dx) = y 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 cos x(dy)/(dx) + y = sin x is

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  5. Solve the following differential equations. x(x-1)(dy)/(dx)-(x-2)y=x...

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

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

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  8. The solution of (1)/(x)(dy)/(dx) + y e^(x) = e^((1-x)^(e^(x))) is

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  9. Which of the following statement is correct ? Statement I if dy+2xyd...

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  10. The general solution of e^(y)((dy)/(dx)) + 2(e^(y))/(x) = Sin x is

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  11. Solution of xy - (dy)/(dx) = y^(3)e^(-x^(2)) is

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  12. Solve (dy)/(dx) + (y)/(x) = x^(2)y^(6)

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

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

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  15. If x^(2)y-x^(3)(dy)/(dx)=y^(4)cosx then x^(3)y^(-3) is equal to

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  16. Match the differential equations in List-I to their integrating factor...

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  17. The solution of (dx)/(dy) - (2)/(3)xy = x^(4)y^(3) is

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  18. If the solution of cosec^(2)x(dy)/(dx) - (1)/(y) = 0 is ax + b sin 2x ...

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  19. Assertion (A) : Integrating factor of 1+(x tan y - sec)(dy)/(dx) = 0 i...

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  20. Assertion (A) : The differential equaiton of the family of rectangular...

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