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Find the equation of a curve passing thr...

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Find the equation of a curve passing through the origin and satisfying...

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

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

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

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

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  6. Solve the differential equations: (d^2y)/(dx^2)=x.

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  7. Solve the differential equations: (d^2y)/(dx^2)=x^2+e^(2x)

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  8. Solve the differential equations: (d^2y)/(dx^2)=xsinx

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  9. Solve the differential equations: (d^2y)/(dx^2)+cos2x=(x+1)e^x.

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  10. Solve the differential equations: (d^2y)/(dx^2)=sin^-1x.

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  11. Solve the differential equations: x^2(d^2y)/(dx^2)=logx

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  12. Solve the differential equations: (d^2y)/(dx^2)=xe^x

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  13. Solve the differential equations: (d^2y)/(dx^2)=sin^2x

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  14. Solve the differential equation x(d^2y)/(dx^2)=1 given that y= 1, (dy)...

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  15. Solve the differential equation (d^2y)/(dx^2)=1/x+6 given that (dy)/(d...

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  16. Form the differential equation of the system of parallel lines given b...

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  17. Form the differential equation of the system of parallel lines given b...

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  18. Form the differential equation of the system of concentric circles giv...

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  19. Form the differential equation satisfied by the relation y=mx+c where ...

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  20. Find the differential equation satisfied by the family of parabolas y...

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