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Solution of xy - (dy)/(dx) = y^(3)e^(-x^...

Solution of `xy - (dy)/(dx) = y^(3)e^(-x^(2))` is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  2. The general solution of e^(y)((dy)/(dx)) + 2(e^(y))/(x) = Sin x is

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  3. Solution of xy - (dy)/(dx) = y^(3)e^(-x^(2)) is

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  4. Solve (dy)/(dx) + (y)/(x) = x^(2)y^(6)

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  5. The solution of (1-x^(2)) (dy)/(dx) + xy = xy^(2) is

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

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  7. If x^(2)y-x^(3)(dy)/(dx)=y^(4)cosx then x^(3)y^(-3) is equal to

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  8. Match the differential equations in List-I to their integrating factor...

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  9. The solution of (dx)/(dy) - (2)/(3)xy = x^(4)y^(3) is

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  10. If the solution of cosec^(2)x(dy)/(dx) - (1)/(y) = 0 is ax + b sin 2x ...

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  11. Assertion (A) : Integrating factor of 1+(x tan y - sec)(dy)/(dx) = 0 i...

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  12. Assertion (A) : The differential equaiton of the family of rectangular...

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  13. Asserton (A) : The solution of (dy)/(dx) = (x+y)/(x) is e^(y//x) = cx ...

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  14. The solution of the differential equation (dy)/(dx) - 2y tan 2x = e^(x...

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  15. An integrating factor of the equation (1+y+x^(2)y)dx+(x+x^(3))dy=0 is

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  16. The solution of the differential equation (dy)/(dx) + (y)/(2) sec x = ...

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  17. The differential equation of co-axial system of circles x^(2) + y^(2) ...

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  18. The trajectories orthogonal to x^(2)+y^(2) = 2ax is

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  19. The volume of spherical ballon being inflated changes at a constant ra...

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  20. In a bank, principal increases continuously at the rate of r% per yeat...

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