After a baby whale is born, its weight gain at any time is proportional to the product of its weight and the difference between its weight and its weight at maturity. Give a differential equation satisfied by f(t), its weight at time t. Does the following accurately describe this situation?
$\begin{array} { l }
y ^ { \prime } = k y ( M - y ) \
M = \text { weight at maturit } \
k 0
\end{array}$

Question

After a baby whale is born, its weight gain at any time is proportional to the product of its weight and the difference between its weight and its weight at maturity. Give a differential equation satisfied by f(t), its weight at time t. Does the following accurately describe this situation? 
$\begin{array} { l } 
y ^ { \prime } = k y ( M - y ) \
M = \text { weight at maturit } \
k > 0
\end{array}$

Quizplus · Accepted Answer

The given differential equation $y' = ky(M - y)$ accurately describes the situation where the rate of weight gain of a baby whale ($y'$) is proportional to its current weight ($y$) and the difference between its current weight and its weight at maturity ($M - y$), with $k$ being the proportionality constant.

After a Baby Whale Is Born, Its Weight Gain at Any