(dy)/(dx)x^3+y^3=6xy

Lösung

\frac{d y}{d x} x^{3} + y^{3} = 6 x y

y = \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}, y = - \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}

Schritte zur Lösung

\frac{d y}{d x} x^{3} + y^{3} = 6 x y

Solve Bernoulli ODE:

y = \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}, y = - \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}

y = \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}, y = - \frac{6 2 x}{12 + x + 72 c _{1} e ^{\frac{12}{x}} x}