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人気のある微分積分 >

y^'= y/t-1/(y/t)

解

y^{^{'}} = \frac{y}{t} - \frac{1}{\frac{y}{t}}

解

y = t - 2 ln (t) + c_{1}, y = - t - 2 ln (t) + c_{1}

解答ステップ

y^{'} (t) = \frac{y}{t} - \frac{1}{\frac{y}{t}}

ベルヌーイ ODE を解く:

y = t - 2 ln (t) + c_{1}, y = - t - 2 ln (t) + c_{1}

y = t - 2 ln (t) + c_{1}, y = - t - 2 ln (t) + c_{1}

グラフ

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