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人気のある微分積分 >

y^{''}-1/x y^'+1/(x^2)y= 2/x

解

y^{^{''}} - \frac{1}{x} y^{^{'}} + \frac{1}{x ^{2}} y = \frac{2}{x}

解

y = c_{1} x + c_{2} ln (x) x + x ln^{2} (x)

解答ステップ

y^{''} (x) - \frac{1}{x} y^{'} (x) + \frac{1}{x ^{2}} y = \frac{2}{x}

線形 ODE を解く:

y = c_{1} x + c_{2} ln (x) x + x ln^{2} (x)

y = c_{1} x + c_{2} ln (x) x + x ln^{2} (x)

グラフ

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