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人気のある微分積分 >

(dy)/(dx)=(1-y)y-6

解

\frac{d y}{d x} = (1 - y) y - 6

解

y = \frac{tan ( - \frac{23 ( x + c _{1} )}{2} ) 23}{2} + \frac{1}{2}

解答ステップ

\frac{d y}{d x} = (1 - y) y - 6

分離可能 ODE を解く:

y = \frac{tan ( - \frac{23 ( x + c _{1} )}{2} ) 23}{2} + \frac{1}{2}

y = \frac{tan ( - \frac{23 ( x + c _{1} )}{2} ) 23}{2} + \frac{1}{2}

グラフ

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