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tan^(-1)x+tan^(-1)y=C is the general sol...

`tan^(-1)x+tan^(-1)y=C` is the general solution of the differential equation

A

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

B

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

C

`(1+x^(2))dy+(1+y^(2))dx=0`

D

`(1+x^(2))dx+(1+y^(2))dy=0`

Text Solution

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-DIFFERENTIAL EQUATIONS-OBJECTIVE TYPE QUESTION
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  3. The degree of differential equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+...

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  9. Which of the following is a second order differential equation ?

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  12. A solution of the differential equation y'=y is

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

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  14. tan^(-1)x+tan^(-1)y=C is the general solution of the differential equa...

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  15. The general solution of the differential equation (dy)/(dx)=e^(x-y) is

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  16. A homogeneous differential equation of the form (dy)/(dx)=f((y)/(x)) c...

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  17. A homogeneous differential equation of the form (dy)/(dx)=f((y)/(x)) c...

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  18. Integrating factor of the differential equation cosx(dy)/(dx)+ysinx=1 ...

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