I love curves

Geometry Level pending

The equation of the curve for which the Cartesian subtangent varies as the reciprocal of the square of abscissa , is

,where k is proportionality constant and C is arbitrary constant.

y k = C e ( x 3 / 3 ) y^k = Ce^{(x^3/3)} y = 1 k [ x 3 3 + C ] y= \frac{1}{k} [ \frac{x^3}{3} + C] 1 y k = C e ( x 3 / 3 ) \frac{1}{y^k } = Ce^{( x^3 / 3)} y k e ( x 3 / 3 ) = C y^k e^{( x^3/3)} = C

Sachin Vishwakarma by Sachin Vishwakarma , 22, India

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