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The equation of a curve passing through `(2,7/2)` and having gradient `1-1/(x^2)` at `(x , y)` is

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. A curve y=f(x) passes through (1,1) and tangent at P(x , y) cuts t...

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  2. A curve is such that the mid-point of the portion of the tangent inter...

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  3. The equation of a curve passing through (2,7/2) and having gradien...

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  4. The equation of the curve which is such that the portion of the axi...

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  5. A normal at P(x , y) on a curve meets the x-axis at Q and N is t...

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  6. The differential equation of all non-horizontal lines in a plane is

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  7. The curve in the first quadrant for which the normal at any point (...

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  8. The differential equation of the curve for which the initial ordina...

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  9. Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3...

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  10. Which of the following is not the differential equation of family of c...

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  11. Tangent to a curve intercepts the y-axis at a point P .A line perpend...

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  12. The solution of the differential equation (xcoty+logcosx)dy+(logsiny-y...

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  13. The curve with the property that the projection of the ordinate on ...

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  14. The differential equation of all parabolas each of which has a latu...

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  15. The solution of differential equation xy.dy/(dx)=(x+2)(y+2) is given b...

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  16. The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...

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  17. find equation of normal at point (am^2, am^3) to the curve ay^2=x^3

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  18. The equation of a curve passing through (1,0) for which the product...

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  19. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

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  20. The order of the differential equation whose general solution is gi...

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