Answer to Question #337015 in Differential Equations for ferdy

Question

A moving body is opposed by a force proportional to the displacement and by a resistance

proportional to the square of velocity. Prove that the velocity is given by

V² = ae − cx/b + /(cab²)

Hint: Equation of motion is mV(dV/dx) = −K₁c − K₂V²

Answer 1

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