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人気のある微分積分 >

(dy)/(dx)= y/(2+x^2)

解

\frac{d y}{d x} = \frac{y}{2 + x ^{2}}

解

y = e^{\frac{1}{2} a r c t a n (\frac{x}{2}) + c_{1}}

解答ステップ

\frac{d y}{d x} = \frac{y}{2 + x ^{2}}

分離可能 ODE を解く:

y = e^{\frac{1}{2} a r c t a n (\frac{x}{2}) + c_{1}}

y = e^{\frac{1}{2} a r c t a n (\frac{x}{2}) + c_{1}}

グラフ

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