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Find the equation of a curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the differential equation: (dy)/(dx)+2y=sin x

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

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  3. Solve x(dy)/(dx) +2y = x^2logx

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  4. Find the general solution of the differential equations: (1+x^2)dy+...

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  5. Solve the differential equation: y\ dx+(x-y^2)dy=0

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  6. The differential equations, find a particular solution satisfying t...

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  7. Find a particular solution of the differential equation: (x+y)dy+(x-y)...

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  8. Solve the differential equation x^2dy+y(x+y)dx=0, given that y=1\ w h ...

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  9. Find the equation of the curve passing through the point (1,1) whose...

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  10. Find the equation of a curve passing through the point (-2,3) , give...

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  11. Find the equation of a curve passing through the point (0, 0) and wh...

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  12. At any point (x, y) of a curve, the slope of the tangent is twice th...

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  13. Show that the family of curves for which the slope of the tangent a...

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

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  15. Find the equation of a curve passing through the origin given that ...

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  16. Find the equation of a curve passing through the point (0, 2) given...

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  17. The slope of the tangent to the curve at any point is reciprocal of tw...

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  18. The decay rate of radium at any time t is proportional to its mass at ...

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  19. Experiments show that radium disintegrates at a rate proportional to t...

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  20. A wet porous substance in the open air loses its moisture at a rate ...

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