y^'-y/((ln(y))^2)=0,y(0)=1

Lösung

y^{^{'}} - \frac{y}{( ln ( y ) ) ^{2}} = 0, y (0) = 1

y = e^{33 3 t}

Schritte zur Lösung

y^{'} (t) - \frac{y}{( ln ( y ) ) ^{2}} = 0

Solve separable ODE:

y = e^{33 3 t}

y = e^{33 3 t}

\frac{d y}{d x} = y^{2} - 9 y + 20

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

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

(x^{2} + 9) \frac{d y}{d x} + x y - 8 x = 0

y + 6 y^{^{'}} + 13 y = 10, e^{2 t} y = - 13