Malone Rose
06/11/2023 · Junior High School
Sippose that a cell dehydration model satisfies the differential equation, \( \frac{d w}{d t}=-\mathrm{kW}^{2 / 3} \) Assume thet the volume of the water in the cell is initially \( w(0)=8 \mathrm{~mm}^{3} \). Also, assume that the volume of the water has decreased to \( w(6)=1 \mathrm{~mm}^{3} \) after 6 hours (i) Solve the difference equation by separating like variables
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The specific solution to the differential equation is \( w(t) = \frac{(-\frac{1}{2}t + 6)^3}{27} \).
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