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The solution of (1+x^(2))(dy)/(dx)+y=e^(...

The solution of `(1+x^(2))(dy)/(dx)+y=e^(tan-1x)`, is given by

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve the differential equation: (y+3x^2)(dx)/(dy)=x

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

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  3. The solution of (1+x^(2))(dy)/(dx)+y=e^(tan-1x), is given by

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  4. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

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  5. Solve the differential equation: x(dy)/(dx)-2y=x^2+sin(1/x^2),x>0

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  6. Solve the differential equation: (dy)/(dx)=ytanx-2sinx,0<x<pi/2

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  7. Solve the differential equation: xcosx(dy)/(dx)+y(xsinx+cosx)=1, 0<x<p...

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  8. Solve the differential equation: cos^3x(dy)/(dx)+ycosx=sinx

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  9. Solve the differential equation: dy=x(x^2-2y)dx

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  10. Solve the differential equation: ydx-xdy+(logx)dx=0

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

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

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

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

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

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

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

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

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

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

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