(dx)/(dt)=20-0.2*x

Lösung

\frac{d x}{d t} = 20 - 0.2 \cdot x

x = - 5 e^{\frac{- t - c _{1}}{5}} + 100

Schritte zur Lösung

\frac{d x}{d t} = 20 - 0.2 \cdot x

Solve separable ODE:

x = - 5 e^{\frac{- t - c _{1}}{5}} + 100

x = - 5 e^{\frac{- t - c _{1}}{5}} + 100

\frac{df}{d x} = a_{0} - u f (x)

y^{^{'}} = 6 a - y

y^{^{'}} = 0.1 y

y^{^{'}} = - x y^{2} - 3 x

y^{^{'}} tan (x) = 7 a + y, y (\frac{π}{3}) = 7 a