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人気のある微分積分 >

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

解

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

解

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

解答ステップ

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

分離可能 ODE を解く:

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

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

グラフ

人気の例

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