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人気のある微分積分 >

x^2y^{''}-2xy^'+2y=x^2+2

解

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = x^{2} + 2

解

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

解答ステップ

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

線形 ODE を解く:

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

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

グラフ

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