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人気のある微分積分 >

y^'-6/x y=((y^3))/(x^4)

解

y^{^{'}} - \frac{6}{x} y = \frac{( y ^{3} )}{x ^{4}}

解

y = \frac{3 x ^{6}}{- 2 x ^{9} + c _{1}}, y = - \frac{3 x ^{6}}{- 2 x ^{9} + c _{1}}

解答ステップ

y^{'} (x) - \frac{6}{x} y = \frac{( y ^{3} )}{x ^{4}}

ベルヌーイ ODE を解く:

y = \frac{3 x ^{6}}{- 2 x ^{9} + c _{1}}, y = - \frac{3 x ^{6}}{- 2 x ^{9} + c _{1}}

y = \frac{3 x ^{6}}{- 2 x ^{9} + c _{1}}, y = - \frac{3 x ^{6}}{- 2 x ^{9} + c _{1}}

グラフ

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