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The solution of sin^(-1)((dy)/(dx)) = y ...

The solution of `sin^(-1)((dy)/(dx)) = y + x` is

A

`Tan (x+y) - sec(x + y) = x + c`

B

`Tan ((x+y)/(2)) = c`

C

`Tan(x+y) = x+c`

D

`Tan(x+y) - sec (x+y) = c`

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The correct Answer is:
A
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The solution of (x+y)^(2)(dy)/(dx) = a^(2) is

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

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

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  4. Solve (dy)/(dx)=sin(x+y)+cos (x+y)

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

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  6. The value of 'b' such that the solution of x = by (dy)/(dx) represents...

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  7. A curve passes through the poit (5,3) and at any point (x,y) on it the...

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  8. A curve C has the property that if the tangent drawn at any point 'P' ...

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  9. The normal to a curve at P(x,y) meets the x-axis at G. If the distance...

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  10. The normal line to a given curve at each point (x,y) on the curve pass...

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  11. If x(dy)/(dx) = y (log y - log x +1), then the solution of the equat...

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

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  13. A family of curves has the differential equation xy(dy)/(dx)=2y^(2)-x^...

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  14. An equation of the curve satisfying xdy - ydx = sqrt(x^(2) - y^(2))dx ...

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  15. The solution of x cos. (y)/(x) (y dx + x dy) = y sin.(y)/(x) (x dy - y...

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  16. The general solution of the differential equation x^2 y dx - (x^3 + y^...

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

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

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

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

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