(xy^')/y =2

Lösung

\frac{x y ^{^{'}}}{y} = 2

y = c_{1} x^{2}

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} x^{2}

y = c_{1} x^{2}

\frac{d x}{d t} = x^{2} + \frac{1}{9}

\frac{d y}{d x} = x y^{2} + y^{2} + x + 1

- 3 y^{^{'}} - 6 y = 0

x d x = - \frac{ey}{ey + 6} d y

y^{^{'}} + (x - 10) y^{^{'}} + y = 0