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人気のある微分積分 >

5y^'-y=e^{-t}+3t

解

5 y^{^{'}} - y = e^{- t} + 3 t

解

y = - \frac{1}{6 e ^{t}} - 3 (t + 5) + c_{1} e^{\frac{t}{5}}

解答ステップ

5 y^{'} (t) - y = e^{- t} + 3 t

線形 ODE を解く:

y = - \frac{1}{6 e ^{t}} - 3 (t + 5) + c_{1} e^{\frac{t}{5}}

y = - \frac{1}{6 e ^{t}} - 3 (t + 5) + c_{1} e^{\frac{t}{5}}

グラフ

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