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The solution of (1+x^(2)) (dy)/(dx) + y ...

The solution of `(1+x^(2)) (dy)/(dx) + y = e^(Tan^(-1)x)` is

A

`Tan^(-1)y`

B

`e^(tan^(-1)y)`

C

`1+y^(2)`

D

`e^(1+y^(2))`

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. The integrating factor of the differential equation (dy)/(dx) (x log x...

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  2. An equation (dy)/(dx) + p(x).y = q(x) is called

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

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  4. The integrating factor of c Cos x((dy)/(dx)) + (x Sin x + Cos x)y =...

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

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

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  7. The solution of (dy)/(dx) -y tan x = e^(x) sec x is

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  8. The solution of (dy)/(dx) + (3x^(2) y)/(1 + x^(3)) = (1+ x^(2))/(1 + x...

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  9. The solution of x log x (dy)/(dx) +y =1 is

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  10. The solution of y^(2) dx + (3xy -1) dy = 0 is

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  11. The solution of dx + x dy = e^(-y) sec^(2) y dy is

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  12. The solution of sec x(dy)/(dx) = y + sin x is

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  13. The solution of (dy)/(dx) + (3)/(x) y = (1)/(x^(2)), at y=2, x=1

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

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  15. The solution of (dy)/(dx) +(Tan y)/(1+x) = (1+x)e^(x) sec y is

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

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  17. If the solution of (dy)/(dx) = (x-y)/(x+y) is ax^(2) + bxy + cy^(2) = ...

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  18. Match the following {:(,"List-I",,"List-II",),((1),(x+2y^(3))(dy)/(d...

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  19. Match the following {:(,"List-I",,"List-II",),((1),"The equation of ...

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  20. Match the following. {:(,"List -I",,"List-II",),(,"(Differential equ...

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