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The solution of the differential equatio...

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

A

`y(1+x^2)=C+tan^-1x`

B

`y/(1+x^2)=C+tan^-1x`

C

`ylog(1+x^2)=C+tan^-1x`

D

`y(1+x^2)=C+sin^-1x`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. The order and degree of the differential equation (d^4y)/(dx^4)=y+((dy...

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

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

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

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

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  6. The solution of the differntial equations cosx sinydx+sinx cosy dy=0 i...

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

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  8. True or false: Order of the differential equation of the family of all...

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  9. The differential equation for the family of circle x ^(2) + y ^(2) - 2...

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

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

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  12. General solution of (dy)/(dx)+ytanx=secx is

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

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

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

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  16. Which of the following is the general solution of (d^(2)y)/(dx^(2))-2(...

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  17. Solution of the differential equation (dy)/(dx)+y/x=sinx is

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  18. Find the particular solution of : dy/dx=e^(x-y)+x^2e^-y, given that x=...

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  19. The general solution of the differential equation e^(x)dy + (ye^(x) + ...

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  20. The solution of the differential equation (dy)/(dx)+(2xy)/(1+x^(2))=1/...

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