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人気のある微分積分 >

-60=(d^2y)/(dx^2)

解

- 60 = \frac{d ^{2} y}{d x ^{2}}

解

y = - 30 x^{2} + c_{1} x + c_{2}

解答ステップ

- 60 = \frac{d ^{2} y}{d x ^{2}}

代用

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

と

y^{''} (x)

- 60 = y^{^{''}} (x)

分離する

y^{''} (x) : y^{''} (x) = - 60

解く

y^{''} (x) = - 60 : y^{'} (x) = - 60 x + c_{1}

解く

y^{'} (x) = - 60 x + c_{1} : y = - 30 x^{2} + c_{1} x + c_{2}

y = - 30 x^{2} + c_{1} x + c_{2}

グラフ

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