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Find the particular solution of the di...

Find the particular solution of the
differential equation
`(1+x^2)(dy)/(dx)+2xy=1/(1+x^2)`,when `y=0`,
`x=1`.

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MAXIMUM PUBLICATION-DIFFERENTIAL EQUATION-EXAMPLE
  1. Solve dy/dx+2ytanx=sinx,y=0,x=pi/3

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  2. The order of the differential equation x^4(d^2y)/(dx^2)=1+(dy/dx)^3 ...

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  3. Find the particular solution of the differential equation (1+x^2)(...

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  4. Form a differential equation of the family of circles having centre ...

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  5. Consider the Differential equation (d^2y)/(dx^2)+y=0 Write the ord...

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  6. Consider the Differential equation (d^2y)/(dx^2)+y=0 Verify that y...

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  7. If cosxdy/dx+ysinx=tan^2x is a DE,then Find its order and degree.

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  8. If cosxdy/dx+ysinx=tan^2x is a DE,then Find its general solution.

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  9. Write the order and degree of the DE [dy/dx]^2+dy/dx-sin^2y=0

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  10. Solve the DEdy/dx+2ytanx=sinx

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  11. The general solution of the DE dy/dx= e^x-y is

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  12. Solve the DEdy/dx=2xy/(1+x^2)+x^2+2

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  13. Consider the family of all circles having their centre at the point ...

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  14. Write the integrating factor of the differential equation cosxdy/...

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  15. Write the order and degree of the differential equations. xy((d^2y...

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  16. Find the general solution of the differential equation ylogydx-xdy=0

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  17. Find the integrating factor of the differential equation xdy/dx-y=2x...

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  18. y=acosx+bsinx is the solution of the differential equation (d^2y)/...

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  19. y=acosx+bsinx is the solution of the differential equation (d^2y)/...

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  20. Verify that the function y=acosx+bsinx is the solution of the differe...

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