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The solution of differential equation (d...

The solution of differential equation `(dy)/(dx) = e^(x-y) + x^(2)e^(-y)` is

A

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

B

`e^(y) - e^(x) = (x^(3))/(3) + c`

C

`e^(x) + e^(y) = (x^(3))/(3) + c`

D

`e^(x) - e^(y) = (x^(3))/(3) + c`

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment (Section - A) Competition Level Questions
  1. Integrating factor of x(dy)/(dx) - y = x^(4) - 3x is

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  2. The general solution of differential equation (e^(x) + 1) y dy = (y + ...

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  3. The solution of differential equation (dy)/(dx) = e^(x-y) + x^(2)e^(-y...

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  4. The solution of differential equation (dy)/(dx) + (2xy)/(1+x^(2)) = (1...

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  5. The number of solution of dy / dx = (y +1) / (x-1) when y(1) = 2 is

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  6. The differential equation y(dy)/(dx) + x = c represents

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  7. The integrating factor of differential equation dy/dx+y=(1+y)/x is

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  8. The differential equation for the family of curves x^(2)-y^(2)-2ay=0, ...

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

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  10. The curve in which the slope of the tangent at any point equal the rat...

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  11. The solution of the equation (2y-1)dx - (2x + 3)dy = 0 is

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  12. Let f(x) = secx*f'(x), f(0) = 1, then f(pi/6) is equal to (i)1/sqrte ...

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  13. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

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  14. The order & the degree of the differential equation whose general ...

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  15. The solution of the differential equation dy/dx=cos(x-y) is

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  16. (dy)/(dx) = (xy+y)/(xy+x), then the solution of differential equation ...

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  17. The differential equation ydy+xdx = dx represents

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  18. The integrating factor of cos^(2) x(dy)/(dx) +y = tan x is

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  19. The integrating factor of (dy/dx)+2y = xe^(4x) is

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  20. The integrating solution of differential equation (dy)/(dx) = e^((x^(2...

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