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The solution of the differential equatio...

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

A

`cosec (x + y) + tan (x + y) = x +c`

B

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

C

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

D

`x + sec (x +y) =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) = tan^(2) (x+y) is

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

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

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  4. A particular solution of (dy)/(dx) = (x(2 log x +1))/(sin y + y cos y)...

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  5. The differential equation y (dy)/(dx) + x =a represents

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  6. If the subnormal at every point of a curve is a constant k, then its e...

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  7. The family of curves , in which the subtangent at any point to any cur...

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  8. The curve whose subtangent is twice the abscissa of the point of conta...

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  9. If the length of the subtangent at any point of a curve is constant , ...

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

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  11. Equation of the curve passing through the point (4,3) and having slope...

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  12. The slope of a curve at any point on it is the reciprocal of twice the...

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  13. The subnormal at any point of a curve is of constant length '8'. Then ...

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  14. The equation of curve passing through (1,3) whose slope at any point (...

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  15. The equation of curve passing through (0,1) which is a solution of dif...

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  16. The equation of curve passing through ( ) satisfying the differential ...

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  17. The equation of curve passing through (pi^2/4,1), which has a solution...

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

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

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

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