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The perpendicular from the origin to the...

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis is__________

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  14. Solve the differential equation x y(dy)/( dx)=(1+y^2)/(1+x^2)(1+x+x^2)

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

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