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Solve the differential equation: (dy)/(d...

Solve the differential equation:
`(dy)/(dx)+(4x)/(x^2+1)y=1/((x^2+1)^3)`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve the differential equation: ydx-xdy+(logx)dx=0

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  2. Solve the differential equation: y+d(xy)/(dx)=x(sinx+logx)

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  3. Solve the differential equation: (dy)/(dx)+(4x)/(x^2+1)y=1/((x^2+1)^3)

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  4. Solve the differential equation: dx+xdy=e^(-y)logydy,y>0.

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  5. Solve the differential equation: (x+2y^3)(dy)/(dx)=y,y>0

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  6. Solve the differential equation: (x-siny)dy+(tany)dx=0

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  7. Solve the differential equation: ydx+(x-y^3)dy=0,y>0

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  8. Solve the differential equation: (dy)/(dx)+xy=x^3y^3

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  9. Solve the differential equation: (dy)/(dx)-2ytanx=y^2tan^2x,0<x<pi/2

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  10. Solve the differential equation: (x^2+y^2)dx+2xydy=0, given when x =1 ...

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  11. Solve the differential equation: (y+3x^2)(dx)/(dy)=x

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  12. Solve the differential equation: (dy)/(dx)+xsin2y=x^3cos^2y

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  13. Find the solution of (dy)/(dx)+2/x y=1/x^2, x ne 0 which satisfies y(2...

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  14. Solve the differential equation dy=cosx(2-ycosecx)dx given that y=2 an...

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  15. Find the particular solution of the differential equation (dy)/(dx)=-(...

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  16. Find the equation of a curve passing through the origin and satisfying...

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  17. If y(t) is a solution of (1+t)(dy)/(dt)-ty=1 and y(0)=-1, then show th...

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  18. Find the equation of a curve passing through the point (0, 1). If the ...

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  19. Solve the differential equations: (d^2y)/(dx^2)=0.

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  20. Solve the differential equations: (d^2y)/(dx^2)=cosx-sinx

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