(dy)/(dt)=0.18y-k

Lösung

\frac{d y}{d t} = 0.18 y - k

y = \frac{e ^{0.18 t + c_{1}}}{0.18} + \frac{k}{0.18}

Schritte zur Lösung

\frac{d y}{d t} = 0.18 y - k

Solve separable ODE:

y = \frac{e ^{0.18 t + c_{1}}}{0.18} + \frac{k}{0.18}

y = \frac{e ^{0.18 t + c_{1}}}{0.18} + \frac{k}{0.18}

y y^{^{'}} = x + 1

y^{^{'}} \cdot e^{x + y} - x = 0

y^{^{'}} = y + \frac{y}{x ln ( x )}, y (e) = 1

y^{^{'}} = e^{2 x} + y \cdot e^{2 x}

\frac{d y}{d x} = \frac{4 x}{y ^{2}}