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The equation of the curve through the or...

The equation of the curve through the origin and satifying the differential equation `(dy)/(dx) = (x-y)^(2)` is

A

`e^(2x) (1-x+y) = 1+x-y`

B

`e^(2x) (1+x-y) = 1-x+y`

C

`e^(2x) (1-x+y) = -(1+x+y)`

D

`e^(2x) (1+x+y) = 1-x+y`

Text Solution

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

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  2. The solution of (dy)/(dx) = (4x+9y+1)^(2) is

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  3. The equation of the curve through the origin and satifying the differe...

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

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

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  6. The curve whose sub tangent is twice the abscissa of the point of cont...

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  7. Equation of the curve passing through the point (a,1) and has length o...

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  8. The D.E y(dy)/(dx)+x = a represents

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  9. The solution of (ydx - xdy)/(y^(2)) = 0 represents a family of

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  10. Solve : x dy= (y+x " cos"^(2)(y)/(x))dx

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  11. Solve : x " sin"(y)/(x).(dy)/(dx)=y " sin"(y)/(x)-x

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

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

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  14. The substitution required to change equation (dy)/(dx) = (2x+3y+5)/(4x...

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  15. To change (3x+4y+5) - (2x+3y+4)(dy)/(dx) = 0 into homogeneous equation...

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  16. The solution of (dy)/(dx) = (x-2y + 3)/(2x-y + 5) is

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  17. The integrating factor of the differential equation (dy)/(dx) (x log x...

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  18. An equation (dy)/(dx) + p(x).y = q(x) is called

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

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  20. The integrating factor of c Cos x((dy)/(dx)) + (x Sin x + Cos x)y =...

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