(dx)/(dt)-5x=3

Lösung

\frac{d x}{d t} - 5 x = 3

x = \frac{e ^{5 t + c_{1}}}{5} - \frac{3}{5}

Schritte zur Lösung

\frac{d x}{d t} - 5 x = 3

Solve separable ODE:

x = \frac{e ^{5 t + c_{1}}}{5} - \frac{3}{5}

x = \frac{e ^{5 t + c_{1}}}{5} - \frac{3}{5}

\frac{d y}{d x} = 3 e^{x - y}, y (0) = ln (6)

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

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

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

(y + 1) cos (x) d x - d y = 0