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The general solution of differential equ...

The general solution of differential equation `(e^(x)+1)ydy=(y+1)(e^(x))dx"is"`

A

`y + 1 = k(e^(x) + 1)`

B

`y + 1 = e^(x) + k`

C

`y = log{k(y + 1) (e^(x) + 1)}`

D

`y = log((e^(x) +1)/(y+1)) + k`

Text Solution

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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. Solution of the differential equation tan y.sec^(2) x dx + tan x. sec^...

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  2. The integrating factor of (xdy)/(dx)-y=x^(4)-3x " is"

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  3. The general solution of differential equation (e^(x)+1)ydy=(y+1)(e^(x)...

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  4. The solution of differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y)is

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  5. The solution of differential equation (dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1...

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  6. The number of solutions of (dy)/(dx)=(y+1)/(x-1),"Then y(1)=2 is"

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

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

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

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

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

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

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

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

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

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

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

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  18. The differential equation ydy+xdx = dx represents

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

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

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