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x(1+y^2)dx-y(1+x^2)dy =0...

` x(1+y^2)dx-y(1+x^2)dy =0`

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MOTION-DIFFERENTIAL EQUATION -Exercise 3
  1. dy/dx -yln2 = 2^sinx. (cosx-1) ln 2, y being bounded when x rightarrow...

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  2. Consider the differential equation. Dy/dx +P(x)y = Q(x) (i) If two par...

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  3. x(1+y^2)dx-y(1+x^2)dy =0

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  4. Find the integral curve of the differential equation, x(1–x lny). Dy/d...

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  5. A tank consists of 50 litres of fresh water. Two litres of brine each ...

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  6. A normal is drawn at a point P(x , y) of a curve. It meets the x-ax...

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  7. Find the curve for which the sum of the lengths of the tangent and sub...

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  8. Find the curve y= f(x) where f(X) ge 0, f(0) =0,bounding a curvilinear...

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  9. Find the equation of a curve such that the projection of its ordinate ...

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  10. The light rays emanating from a point source situated at origin when r...

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  11. The perpendicular from the origin to the tangent at any point on a cur...

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  12. Find the curve for which any tangent intersects the y-axis at the poin...

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  13. Find the curve such that the area of the trapezium formed by the co-or...

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  14. Find the equation of the curve passing through the origin if the middl...

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  15. A perpendicular drawn from any point P of the curve on the x-axis meet...

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  16. The equation of curve in which portion of y-axis cutoff between origin...

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  17. Find the orthogonal trajectories for the given family of curves when ‘...

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  18. The population P of a town decreases at a rate proportional to the num...

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  19. It is known that the decay rate of radium is directly proportional to ...

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  20. Let the function ln f(x) is defined where f(x) exists for x geq 2 an...

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