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Find the general solution of the differe...

Find the general solution of the differential equation: `x(dy)/(dx) + 2y = x^2 (x ne 0)`

A

`y=(x^2+C)/(4x^2)`

B

`y=x^2/4+C`

C

`y=(x^4+C)/x^2`

D

`y=(x^4+C)/(4x^2)`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Integrating factor of the differential equation (dy)/(dx)+ytanx-secx=0...

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

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  3. Find the general solution of the differential equation: x(dy)/(dx) + ...

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  4. If y=e^-x(Acosx+Bsinx) then y is a solution of

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  5. The complete solution of the differential equation (dy)/(dx)=2x+5 is

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  6. The differential equation for y=Acosalphax+Bsinalphax where A and B ar...

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  7. Which of the following is not a homogneous function x and y?

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  8. Solution of the differential equation (dy)/x+y(dy)/y=0 is

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

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  10. Solution of differential equation x dy-y dx=0 represents

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

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  12. Solution of the differential equation tany sec^(2)xdx+tanxsec^(2)ydy=0...

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  13. Family Y=Ax+A^(3) of curves is represented by the differential equatio...

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  14. Integrating factor of x(dy)/(dx)-y=x^(4)-3 is

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  15. The solution of (dy)/(dx)-y=1 ,y(0)=1 is given by

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  16. The number of solutions of (dy)/(dx)=(y+1)/(x-1) when y(1)=2 is r.

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  17. Find the second order derivative of the following functions If y = a...

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  18. The order and degree of the differential equation (d^4y)/(dx^4)=y+((dy...

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

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

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