Question: Determine the general solution u(t) using Separation of Variables.dudt=k2(1-u2M)C for the arbitrary constant. Absorbinto Cas much as possible.A(t).dAdt=kA2(1-AM)C for the arbitrary constant. Absorbinto Cas much

Determine the general solution u(t) using Separation of Variables.dudt=k2(1-u2M)C for the arbitrary constant. Absorbinto Cas much as possible.A(t).dAdt=kA2(1-AM)C for the arbitrary constant. Absorbinto Cas much as possible. A tissue culture grows until it has a maximum area ofM square centimeters. The area A(t)of the culture at time t may bemodeled by the differential equationdAdt=kA2(1-AM)where kis the growth constant.Consider the shown work to find a general solution using Separation of Variables.Let A=u2.dudt=ku(1-u2M)duMku-ku3=1Mdt1kdu-u3=1Mdtln(u)Mk+u22k=tM+C

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