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

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

A

`(1)/(x^(5)y^(5))`

B

`(1)/(x^(5)y^(5)) = (5)/(x^(2))+c`

C

`(1)/(x^(2)y^(5)) = (5)/(2x^(2)) + c`

D

`(1)/(x^(2)y^(2)) = (5)/(2x^(2)) + c`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. In a bank, principal increases continuously at the rate of 5% per yea...

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