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Solution of the differential equation (d...

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

A

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

B

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

C

`(tan^(-1)x)+(tan^(-1)y)=0`

D

`tan^(-1)y=ctan^(-1)x=0`

Text Solution

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The correct Answer is:
A
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
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  13. Solution of the differential equation cos x cos y dy -sin x sin y dx=0...

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

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

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

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

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

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

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