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The solution of the differential equatio...

The solution of the differential equation `(1-x^2)(1-y)dx=x y(1+y)dy` is

A

`log|x(1-y)^(2)|+(y^(2)-x^(2))/(2)+2y=c`

B

`log|x(1-y)^(2)|+(y^(2)+x^(2))/(2)-2y=c`

C

`log|x(1-y)^(2)|-(y^(2)+x^(2))/(2)+2y=c`

D

`log|x(1-y)^(2)|-(y^(2)+x^(2))/(2)-2y=c`

Text Solution

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The correct Answer is:
A
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. Solution of the differential equation (dy)/(dx)=x^(2)y+y is

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  2. Solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is

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  3. The solution of the differential equation (1-x^2)(1-y)dx=x y(1+y)dy ...

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  4. Find the general solution of each of the following differential equat...

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  5. What is the solution of the differential equation (dy)/(dx)=xy+x+y+1...

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  6. Solution of the differential equation xy^(3)(dy)/(dx)=1-x^(2)+y^(2)-x^...

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  7. Solution of the differrential equation (dy)/(dx)=xsqrt(25-x^(2)) is

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  8. If a an arbitrary constant, then solution of the differential equation...

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  9. Solution of the differential equation

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  10. The solution of the differential equation y - x ( dy)/(dx) = a ( y...

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  11. Solution of the differential equation dr=a(rsin thetad theta-cos theta...

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  12. Solution of the differential equation cos x cos y dy -sin x sin y dx=0...

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  13. The solution of the differential equation sec x dy - "cosec " y dx =...

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

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  15. Solution of the differential equation sinx(dy)/(dx)+1+sinx=0 is

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  16. The general solution of the differential equation (dy)/(dx)+(1+cos2y)/...

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  17. Find the general solution of each of the following differential equat...

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  18. Solution of the differential equation (dy)/(dx)tany=sin(x+y)+sin(x-y) ...

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  19. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

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  20. Solve the following differential equation: (1+y^2)tan^(-1)dx+2y(1+x^2)...

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