The mass M(t) (in grams) of yeast in a fermentation tank satisfies the differential…

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

The mass M(t) (in grams) of yeast in a fermentation tank satisfies the differential equation

M'(t)=9M(t)-0.0036M(t)^{2}

, where t is measured in hours. Rewrite this equation in the form

M'(t)=k\,M(t)(a-M(t))

and determine the exact numerical values of k and a.