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The general solution of y^(2)dx+(x^(2)-x...

The general solution of `y^(2)dx+(x^(2)-xy+y^(2))dy=0` is

A

`tan^(-1)((x)/(y)) + log y + c = 0`

B

`2tan^(-1)((x)/(y)) + log x + c = 0`

C

`log(y + sqrt(x^(2) + y^(2))) + log y + c = 0`

D

`sin h^(-1)((x)/(y)) + log y + c = 0`

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The correct Answer is:
A
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The general solution of the differential equation x^2 y dx - (x^3 + y^...

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  2. The solution of the differential equation xy' = 2xe^(-y//x) + y is

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

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

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  5. The solution of the differential equation (dy)/(dx) = (x-2y +1)/(2x-4y...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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