Given a population differential equation model

dy/dt = y(y-1)(y-3) and y(0)=yo

Solve the following:

solve the mathematical model with yo= .5 (ii)yo =1.5

- Feb 11th 2009, 04:39 PMcowracer3Solve the Mathematical Model (Population Differantial Equation)
Given a population differential equation model

dy/dt = y(y-1)(y-3) and y(0)=yo

Solve the following:

solve the mathematical model with yo= .5 (ii)yo =1.5 - Feb 13th 2009, 11:23 PMCaptainBlack

This is of variables seperable type so:

$\displaystyle

\int \frac{1}{y(y-1)(y-3)}\ dy =\int \ dt

$

or using partial fractions fractions:

$\displaystyle

\int{{1}\over{3\,y}}-{{1}\over{2\,\left(y-1\right)}}+{{1}\over{6\, \left(y-3\right)}}\ dt=t+C

$

Though that may not be where you want to put the constant.

CB