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Show that the family of curves for which...

Show that the family of curves for which the slope of the tangent at any point (x, y) on it is `(x^2+y^2)/2xy`, is given by `x^2-y^2 = cx`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve (x+y)^2(dy)/(dx)=1 given that y=0 when x=1.

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  2. Solve the differential equations: (x^2y^2+xy+1)ydx+(x^2y^2-xy+1)xdy=0

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

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  4. Find the equation of a curve passing through (2,1) if the slope of the...

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  5. Find the equation of a curve passing through the origin if the slope o...

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  6. Solve the differential equation: (dy)/(dx)+y=0

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  7. Solve the differential equation: (dy)/(dx)+2y=6e^x

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

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  9. Solve the differential equation: 4(dy)/(dx)+8y=5e^(-3x)

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  10. Solve the differential equation: (dy)/(dx)+ay=e^(mx)

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  11. Solve the differential equation: (dy)/(dx)+y=sinx

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  12. Solve the differential equation: (dy)/(dx)-y=xe^x

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  13. Solve the differential equation: (dy)/(dx)+y=cosx

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

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

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  16. Solve the differential equation: (dy)/(dx)-2y=cos3x

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  17. Solve the differential equation: (dy)/(dx)-2y=cos3x

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  18. Solve the differential equation: (dy)/(dx)+2y=sinx

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  19. Solve the differential equation: (dy)/(dx)+2y=xe^(4x))

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  20. Solve the differential equation: (dy)/(dx)-3y=sin2x

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