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If y = y (x) is the solution of the diff...

If y = y (x) is the solution of the differential equation `((2 + sin x)/(y + 1)) (dy)/(dx) + cos x = 0` with y(0) = 1 then `y ((pi)/(2))`=

A

`(1)/(3)`

B

`(2)/(3)`

C

1

D

`(4)/(3)`

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

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

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

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

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

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

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

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

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

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

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

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

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  13. If y = y (x) is the solution of the differential equation ((2 + sin x)...

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  14. (dy)/(dx) +2x tan(x-y) = 1 rArr sin(x-y) =

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  15. Integrating factor of the differential equation (1-x^(2)) (dy)/(dx) + ...

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  16. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

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  17. The solution of (dy)/(dx) + (1)/(x) = (e^(y))/(x^(2)) is

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  18. The differential equation corresponding to the family of circles given...

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

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  20. The differential equation of the simple harmonic motion given by x = A...

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