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人気のある微分積分 >

(dP)/(dt)=-1/2 P+t

解

\frac{d P}{d t} = - \frac{1}{2} P + t

解

P = 2 t - 4 + \frac{c _{1}}{e ^{\frac{t}{2}}}

解答ステップ

\frac{d P}{d t} = - \frac{1}{2} P + t

線形 ODE を解く:

P = 2 t - 4 + \frac{c _{1}}{e ^{\frac{t}{2}}}

P = 2 t - 4 + \frac{c _{1}}{e ^{\frac{t}{2}}}

グラフ

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