(dP)/(dt)=50P-1/10 P

解答

\frac{d P}{d t} = 50 P - \frac{1}{10} P

P = e^{\frac{499 t + c _{1}}{10}}

求解步骤

\frac{d P}{d t} = 50 P - \frac{1}{10} P

求解可分离方程:

P = e^{\frac{499 t + c _{1}}{10}}

P = e^{\frac{499 t + c _{1}}{10}}

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