x(dy)/(dx)=2x^3y+y

Lösung

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

y = e^{\frac{2 x ^{3}}{3} + c_{1}} x

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{2 x ^{3}}{3} + c_{1}} x

y = e^{\frac{2 x ^{3}}{3} + c_{1}} x

\frac{d y}{d t} = \frac{3 y}{20} - \frac{y ^{2}}{1900}

y \frac{d y}{d x} = x + x y^{2}

\frac{d y}{1 + y} = \frac{d x}{1 + x}

y^{^{'}} = 3.2 y^{\frac{2}{3}}

y^{^{'}} = k \cdot (y - c)