ln(x)*y^'-(2sqrt(y))/x =0

Lösung

ln (x) \cdot y^{^{'}} - \frac{2 y}{x} = 0

y = ln^{2} (ln (x)) + c_{1} ln (ln (x)) + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

ln (x) \cdot y^{'} (x) - \frac{2 y}{x} = 0

Solve separable ODE:

y = ln^{2} (ln (x)) + c_{1} ln (ln (x)) + \frac{c _{1}^{2}}{4}

y = ln^{2} (ln (x)) + c_{1} ln (ln (x)) + \frac{c _{1}^{2}}{4}

\frac{d y}{d t} = t e^{t + y}

\frac{d x}{d y} = 0.8 (28 - x)

y^{^{'}} + x y^{^{'}} - 2 y = 0

(x + 1) \frac{d y}{d x} = - y + 20

y^{^{'}} = e^{x^{2}} y^{2} - 81