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(dy)/(dx) = (1 + y^2)/(1+x^2)...

`(dy)/(dx) = (1 + y^2)/(1+x^2)`

A

`y = tan^(-1) x+c`

B

`tan^(-1)y = x + c`

C

`(y-x) = c(1+xy)`

D

tan xy = c

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The correct Answer is:
C
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AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment (Section - A) Competition Level Questions
  1. The number of solutions of (dy)/(dx)=(y+1)/(x-1),"Then y(1)=2 is"

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  2. The differential equation y(dy)/(dx)+x=C represents

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  3. The integrating factor of differential equation (dy)/(dx)+y=(1+y)/(x)"...

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  4. The differential equation of the family of curves of x^(2)+y^(2)-2ay=0...

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  5. The general solution of (dy)/(dx)=2xe^(x^(2)-y) is

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  6. The curve in which the slope of the tangent at any point equal the rat...

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

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  8. Let f(x) = secx*f'(x), f(0) = 1, then f(pi/6) is equal to

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  9. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

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  10. The order & the degree of the differential equation whose general ...

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  11. The solution of the differential equation dy/dx=cos(x-y) is

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  12. (dy)/(dx) = (xy+y)/(xy+x), then the solution of differential equation ...

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  13. The differential equation ydy+xdx = dx represents

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  14. The integrating factor of cos^(2) x(dy)/(dx) +y = tan x is

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  15. The integrating factor of (dy)+2y = xe^(4x) is

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  16. The general solution of differential equation (dy)/(dx)=e^((x^(2))/(2)...

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  17. Family y=Ax + A^3 of curves will correspond to a differential equatio...

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  18. The solution of differential equation cos x sin y dx+sin x cos dy=0

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  19. (dy)/(dx) = (1 + y^2)/(1+x^2)

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  20. The solution of differential equation ydx + (x+xy)dy = 0 is

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