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Popular Calculus >

(dP)/(dt)=k*P

Solution

\frac{d P}{d t} = k \cdot P

Solution

P = e^{k t + c_{1}}

Solution steps

\frac{d P}{d t} = k \cdot P

Solve separable ODE:

P = e^{k t + c_{1}}

P = e^{k t + c_{1}}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dP)/(dt)=k*P ?
The solution for (dP)/(dt)=k*P is P=e^{kt+c_{1}}