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Find a particular solution of the differential equation: `(x+y)dy+(x-y)dx=0; y=1\ w h e n\ x=1`

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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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