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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

Verified by Experts

The correct Answer is:
C
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-TYPE-I:(MULTIPLE CHOICE QUESTIONS)
  1. Which of the following is a second order differential equation:

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  2. Integrating factor of the differential equation (1-x^(2))(dy)/(dx)-xy=...

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

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  4. The differential equation y(dy)/(dx)+x=c represents

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  5. The general solution of e^(x)cosydx-e^(x)sinydy=0 is

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  6. The degree of the differential equation (d^(2)y)/(dx^(2))+((dy)/(dx^(3...

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  7. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is

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  8. Integrating factor of the differential equation (dy)/(dx)+ytanx-secx=0...

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  9. Find the general solution of the differential equation (dy/dx) = (1+y^...

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  10. The integrating factor of the differential equation (dy)/(dx)+y=(1+y)/...

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  11. The solution of the differential equation cosxsinydx+sinxcosydy=0 is

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  12. The solution of x (dy)/(dx)+y=e^(x) is

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  13. Family y=Ax+A^(3) of curves will correspond to a differential equation...

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

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  15. The curve for which the slope of the tangent at any point is equal to ...

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  16. The general solution of the differential equation (dy)/(dx)=e^((x^(2))...

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

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  18. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is

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  19. The order and degree of the differential equation ((d^(3)y)/(dx^(3)))^...

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  20. The order and degree of the differential equation [1+((dy)/(dx))^(2)]^...

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