(2(y-2x\frac{dy)/(dx))}{3y^3}=0

Lösung

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

y = c_{1} x

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} x

y = c_{1} x

\frac{d y}{d x} + 2 y + 3 = 0

\frac{d x}{d y} = (x^{2} y)

\frac{d y}{d x} = 50 (y - 10000)

x \cdot y^{^{'}} = 4 y

y^{^{'}} = y^{2} x^{8}