A calf that weighs w_o pounds at birth gains weight at the rate shown below where w is weight in pounds and t is time in years. (w_o is w sub o)

dw/dt = 1200 - w

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- Sep 13th 2008, 03:15 AMgingerbaileySolve the differential equation
A calf that weighs w_o pounds at birth gains weight at the rate shown below where w is weight in pounds and t is time in years. (w_o is w sub o)

dw/dt = 1200 - w - Sep 13th 2008, 05:08 AMmr fantastic
$\displaystyle \Rightarrow \frac{dt}{dw} = \frac{1}{1200 - w}$, subject to the boundary condition that at t = 0, $\displaystyle w = w_0$.

Integrate with respect to w, use the boundary condition to get the arbitrary constant and, I suppose, make w the subject.