y^'=k y/x

Lösung

y^{^{'}} = k \frac{y}{x}

y = c_{1} x^{k}

Schritte zur Lösung

y^{'} (x) = k \frac{y}{x}

Solve separable ODE:

y = c_{1} x^{k}

y = c_{1} x^{k}

\frac{d y}{d x} = - \frac{9}{6} x^{2} y^{6}

x - y^{^{'}} = x y

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

y^{^{'}} = 2 y + 4

y^{^{'}} = \frac{1}{2} y^{3}, y (1) = 4