(dp)/(dt)=0.2p-380

Lösung

\frac{d p}{d t} = 0.2 p - 380

p = 5 e^{\frac{t + c _{1}}{5}} + 1900

Schritte zur Lösung

\frac{d p}{d t} = 0.2 p - 380

Solve separable ODE:

p = 5 e^{\frac{t + c _{1}}{5}} + 1900

p = 5 e^{\frac{t + c _{1}}{5}} + 1900

4 y^{^{'}} - 3 y - 83 = 3 y^{^{'}}

(x^{2} + 1) \frac{d y}{d x} + x y = 5 x

y^{^{'}} + \frac{y}{3} = 4

y^{^{'}} x + y = 0

y^{^{'}} - 5 y = 20, y (0) = 0