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人気のある微分積分 >

y^'=(ln(2))/7 y-20,y(0)=200

解

y^{^{'}} = \frac{ln ( 2 )}{7} y - 20, y (0) = 200

解

y = \frac{140}{ln ( 2 )} + 2^{\frac{t}{7}} (200 - \frac{140}{ln ( 2 )})

解答ステップ

y^{'} (t) = \frac{ln ( 2 )}{7} y - 20

線形 ODE を解く:

y = \frac{140}{ln ( 2 )} + 2^{\frac{t}{7}} (200 - \frac{140}{ln ( 2 )})

y = \frac{140}{ln ( 2 )} + 2^{\frac{t}{7}} (200 - \frac{140}{ln ( 2 )})

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