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The solution of (dy)/(dx) + x sin 2y = x...

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

A

`Tan y = (x^(2))/(2) + (1)/(2) + c e^(-x^(2))`

B

`Tan y = (x^(2))/(2) - (1)/(2) + c e^(-x^(2))`

C

`Tan y = (x^(2))/(2) - (1)/(2) + c e^(x^(2))`

D

`Cos y = (x^(2))/(2) - (1)/(2) + c e^(-x^(2))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. Solve (dy)/(dx) + (y)/(x) = x^(2)y^(6)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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