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The sell by dating on dairy products depends on the solution of a differential equation. The rate of growth of bacteria in such products increases
The sell by dating on dairy products depends on the solution of a differential equation. The rate of growth of bacteria in such products increases with time. If y is the number of bacteria (in thousands) present at time t (in days), then the rate of growth of bacteria can be expressed as dy/dt , and we have the differential equation shown below, where K is an appropriate constant. For a certain product, k =8 and y =46 (in thousands) when t=0. Differential Equation: dy/dt=kt a) solve the differential equation for y. b) solve the differential equation for k
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