y^'-2/x y=(y^5)/(x^2)

解

y^{^{'}} - \frac{2}{x} y = \frac{y ^{5}}{x ^{2}}

y = \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}, y = - \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}

解答ステップ

y^{'} (x) - \frac{2}{x} y = \frac{y ^{5}}{x ^{2}}

ベルヌーイ ODE を解く:

y = \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}, y = - \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}

y = \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}, y = - \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}