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

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

A

`y= (x +2) + ce^(x)`

B

`y = -(x +2) + ce^(x)`

C

`x=- (y + 2) + ce^(y)`

D

`x = (y + 2)^(2) + ce^(x)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The solution of (dy)/(dx) = (3x + y + 4)^(2) is

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  2. The equation of the cure passing through the origin and satisfying the...

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

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  4. Solve (dy)/(dx)-x tan (y-x)=1

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  5. (dy)/(dx) + 2x tan (x-y) = 1 rArr sin (x-y) =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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