(dy)/(dx)50x^{1/3}y^{2/3}=600

Lösung

\frac{d y}{d x} 50 x^{\frac{1}{3}} y^{\frac{2}{3}} = 600

y = (\frac{90 x ^{\frac{2}{3}} + c _{1}}{3})^{\frac{3}{5}}

Schritte zur Lösung

\frac{d y}{d x} 50 x^{\frac{1}{3}} y^{\frac{2}{3}} = 600

Solve separable ODE:

y = (\frac{90 x ^{\frac{2}{3}} + c _{1}}{3})^{\frac{3}{5}}

y = (\frac{90 x ^{\frac{2}{3}} + c _{1}}{3})^{\frac{3}{5}}

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

u^{^{'}} = e^{9 x - H (x)}

y^{^{'}} = y (5 x^{2} + 3)

x + 1 y^{^{'}} = y + 1

(t^{2} - 16 t + 48) (\frac{d y}{d t}) = y