y^'=3ye^t

Lösung

y^{^{'}} = 3 y e^{t}

y = e^{3 e^{t} + c_{1}}

Schritte zur Lösung

y^{'} (t) = 3 y e^{t}

Solve separable ODE:

y = e^{3 e^{t} + c_{1}}

y = e^{3 e^{t} + c_{1}}

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

\frac{d y}{d x} + y e^{x} = 0

y^{^{'}} - \frac{y}{3 x} = 0

\frac{d x}{d t} = - \frac{11 x}{( 1000 - t )}

\frac{d y}{d x} = \frac{3}{( x ^{2} y - 8 y )}