x^2((dy)/(dx))+4xy-y^3=0

Lösung

x^{2} (\frac{d y}{d x}) + 4 x y - y^{3} = 0

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

Schritte zur Lösung

x^{2} (\frac{d y}{d x}) + 4 x y - y^{3} = 0

Solve Bernoulli ODE:

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

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

x \to 2 lim ((3 x - 1)^{x^{2} - 3 x + 4})

\frac{\partial}{\partial y} (ln (\frac{x}{y}))

x \to 0 lim (\frac{2}{x} - \frac{2}{x})

a re a \frac{2}{x}, \frac{2}{x ^{2}}, x = 4

d er i v a t i v e f (x) = 6 sec (x) - 5 x