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The solution of (dy)/(dx) + (xy)/(1 + x...

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

A

`ysqrt(1+x^(2)) = sec^(-1)x+c`

B

`ysqrt(1+x^(2)) = -"cosec" h^(-1) x+c`

C

`ysqrt(1+x^(2)) = sin^(-1)x+c`

D

`ysqrt(1-x^(2)) = Tan^(-1)x+c`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. The integrating factor of c Cos x((dy)/(dx)) + (x Sin x + Cos x)y =...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. I : The degree of the differential equation of ((d^(3)y)/(dx^(3))) ...

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  19. Statement - I : The differential equation of y = 5x - c is y(1) = 5 ...

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  20. The solution of the differential equation y' = (1)/(e^(-y) - x), is

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