(dv)/(dt)=90-4/100 v

Lösung

\frac{d v}{d t} = 90 - \frac{4}{100} v

v = - e^{\frac{- t - c _{1}}{25}} + 2250

Schritte zur Lösung

\frac{d v}{d t} = 90 - \frac{4}{100} v

Solve separable ODE:

v = - e^{\frac{- t - c _{1}}{25}} + 2250

v = - e^{\frac{- t - c _{1}}{25}} + 2250

x^{^{'}} = 6 x + 7

(x) y - (3 - x) y^{^{'}} - y = 0

x^{^{'}} = x \cdot sin (t)

d x - 7 x y d y = 2 y d y

\frac{d y}{d t} = 2 t \cdot y^{2}