(dy)/(dt)=0.17y+200

Lösung

\frac{d y}{d t} = 0.17 y + 200

y = \frac{e ^{0.17 t + c_{1}}}{0.17} - \frac{200}{0.17}

Schritte zur Lösung

\frac{d y}{d t} = 0.17 y + 200

Solve separable ODE:

y = \frac{e ^{0.17 t + c_{1}}}{0.17} - \frac{200}{0.17}

y = \frac{e ^{0.17 t + c_{1}}}{0.17} - \frac{200}{0.17}

\int_{0}^{1} \frac{y}{e ^{6 y}} d y

\int \frac{1}{x 4 - ( ln ( x ) ) ^{2}} d x

\frac{d}{d x} ((4 x)^{4 x})

\frac{\partial}{\partial x} (sin (5 x) cos (5 y))

\frac{d}{d x} (\frac{x ^{3}}{cos ( x )})