(y^')/y = 2/x

Lösung

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

y = c_{1} x^{2}

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} x^{2}

y = c_{1} x^{2}

\frac{d y}{d x} \cdot tan (x) = y

x y^{^{'}} = - y + \frac{1}{y ^{2}}

y^{^{'}} + \frac{y}{200} = 5

\frac{d y}{d x} = 14 y + 1, y = - \frac{1}{14} + 12 e^{14 x}

(9 x^{2} + 2 x) d x + (12 y^{3} - 4 y) d y = 0