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

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

A

`y^(3)(1+3 sin x) = x^(3)`

B

`x^(3)(1+ sin x) = y^(3)`

C

`y^(3)(1- sin x) = x^(3)`

D

`x^(3)(1- sin x) = y^(3)`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. In a culture, the bacteria count is 1,00,000. The number is increased ...

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  19. The population of a village increases continuously at the rate proport...

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  20. The solution of the differential equation (dy)/(dx) = (y)/(x) + (Phi...

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