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人気のある微分積分 >

(d^2y)/(dx^2)=k

解

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

解

y = \frac{k x ^{2}}{2} + c_{1} x + c_{2}

解答ステップ

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

代用

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

と

y^{''} (x)

y^{^{''}} (x) = k

解く

y^{''} (x) = k : y^{'} (x) = k x + c_{1}

解く

y^{'} (x) = k x + c_{1} : y = \frac{k x ^{2}}{2} + c_{1} x + c_{2}

y = \frac{k x ^{2}}{2} + c_{1} x + c_{2}

グラフ

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