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The solution of the differenital equatio...

The solution of the differenital equation `(dy)/(dx) = (x +y)/(x)` satisfying the condition y(1) = 1 is

A

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

B

`y = xe^((x-1))`

C

`y = x ln x + x`

D

`y = ln x + 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 the differential equation ydx + (x + x^(2)y) dy = 0 is

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  2. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

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  3. The solution of the differenital equation (dy)/(dx) = (x +y)/(x) satis...

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

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

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  6. The solution of (dy)/(dx) = (3x + y + 4)^(2) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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