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If the eccentricity of the curve for whi...

If the eccentricity of the curve for which tangent at point `P` intersects the y-axis at `M` such that the point of tangency is equidistant from `M` and the origin is `e ,` then the value of `5e^2` is___

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. If the solution of the differential equation (dy)/(dx)=1/(xcosy+sin2y)...

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  2. Tangent is drawn at the point (xi ,yi) on the curve y=f(x), which ...

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  3. If the eccentricity of the curve for which tangent at point P inter...

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

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  5. Find the order and degree of the following differential equations. i) ...

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  6. Form the differential equation of family of lines concurrent at the ...

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  7. Form the differential equation of all circle touching the x-axis at...

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  8. Form the differential equation of family of lines situated at a con...

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  9. From the differential equation of the family of parabolas with focus a...

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  10. The differential equation of all parabolas whose axis are parallel t...

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  11. Form the differential equation of the family curves having equation y=...

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  12. What is the order of the differential equation whose general solution ...

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  13. Find the particular solution of the differential equation (1+e^(2x))dy...

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  14. Solve log((dy)/(dx))=4x-2y-2 , given that y=1 when x=1.

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

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  16. Solve the differential equation x y(dy)/( dx)=(1+y^2)/(1+x^2)(1+x+x^2)

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  17. Solve (d^2y)/(dx^2)=(a)^2

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  18. Solve (dy)/(dx)=(1+y)^2

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  19. Solve : (dy)/(dx) sqrt(1+x+y) =x+y-1

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  20. Show that the differential equation (x^(2)+xy)dy=(x^(2)+y^(2))dx is ho...

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