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Solution of the differential equation xy...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Solution of differential equation (dy)/(dx)=3^(x+y) is

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  19. Solution of differential equation e^((dy)/(dx))=x is

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  20. 2x^(x+2y) dx -3dy =0

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