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

The solution of `(dy)/(dx) = e^(2x-y) + x^(3) e^(-y)` is

A

`4e^(y) = 2e^(2x) - x^(4) + c`

B

`4e^(y) = 2e^(2x) + x^(4)- x^(2) + c`

C

`4e^(y) = 2e^(2x) + x^(4) + c`

D

`4e^(y) = 2e^(2x) - x^(4) +x^(2) + c`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

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  2. Solution the differential equation (dy)/(dx) + 1 = e^(x+y) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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