y^'-7/x y=(y^3)/(x^{10)}

解答

y^{^{'}} - \frac{7}{x} y = \frac{y ^{3}}{x ^{10}}

y = \frac{5 x ^{7}}{- 2 x ^{5} + c _{1}}, y = - \frac{5 x ^{7}}{- 2 x ^{5} + c _{1}}

求解步骤

y^{'} (x) - \frac{7}{x} y = \frac{y ^{3}}{x ^{10}}

求解贝努力方程:

y = \frac{5 x ^{7}}{- 2 x ^{5} + c _{1}}, y = - \frac{5 x ^{7}}{- 2 x ^{5} + c _{1}}

y = \frac{5 x ^{7}}{- 2 x ^{5} + c _{1}}, y = - \frac{5 x ^{7}}{- 2 x ^{5} + c _{1}}

a re a 75 - 3 x^{2}, [0, 7]

n = 1 \sum \infty n (\frac{7}{8})^{n}

d er i v a t i v e x^{2} + 4 x + 5

\frac{\partial}{\partial x} (x (y - 1))

\frac{d}{d x} (x^{2} lo g_{2} (x))