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人気のある微分積分 >

y^'-(y-1)^2=0

解

y^{^{'}} - (y - 1)^{2} = 0

解

y = - \frac{1}{t + c _{1}} + \frac{t}{t + c _{1}} + \frac{c _{1}}{t + c _{1}}

解答ステップ

y^{'} (t) - (y - 1)^{2} = 0

分離可能 ODE を解く:

y = - \frac{1}{t + c _{1}} + \frac{t}{t + c _{1}} + \frac{c _{1}}{t + c _{1}}

y = - \frac{1}{t + c _{1}} + \frac{t}{t + c _{1}} + \frac{c _{1}}{t + c _{1}}

グラフ

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