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}}

\int_{0}^{1} 2 π (x) (8 - 7 x - x^{2}) d x

\int_{0}^{1} \frac{5}{x ^{5}} d x

\frac{d}{d x} (\frac{24}{x ^{2} + 12})

x \to 1 lim (e^{x} - 1)

\frac{d y}{d t} = \frac{y}{2} + 4 e^{\frac{t}{2}}