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人気のある微分積分 >

x^3y^{'''}+3x^2y^{''}-2xy^'+2y=0

解

x^{3} y^{^{'''}} + 3 x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = 0

解

y = \frac{c _{1}}{x ^{2}} + c_{2} x + c_{3} ln (x) x

解答ステップ

x^{3} y^{'''} (x) + 3 x^{2} y^{''} (x) - 2 x y^{'} (x) + 2 y = 0

線形 ODE を解く:

y = \frac{c _{1}}{x ^{2}} + c_{2} x + c_{3} ln (x) x

y = \frac{c _{1}}{x ^{2}} + c_{2} x + c_{3} ln (x) x

グラフ

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