When do I use dy/dt = ky in Differential Equations, and what does it mean?
exponential growth (k>0) or decay (k<0); solution y = y₀e^{kt}.
dy/dt = ky — exponential growth (k>0) or decay (k<0); solution y = y₀e^{kt}. Use it when: rate proportional to the amount present. Always check the condition holds before plugging in numbers.
Key point
dy/dt = ky
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