(dy)/(dt)=0.48-y/(240)

Lösung

\frac{d y}{d t} = 0.48 - \frac{y}{240}

y = - e^{\frac{- t - c _{1}}{240}} + 115.2

Schritte zur Lösung

\frac{d y}{d t} = 0.48 - \frac{y}{240}

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{240}} + 115.2

y = - e^{\frac{- t - c _{1}}{240}} + 115.2

f (x) = f^{^{'}} (x) (4 x + 9)^{5}

\frac{d y}{d x} = - 7 (- 4 - y)

\frac{d h}{d t} = - \frac{1}{72} h

(y) sin (x) + y^{^{'}} = sin (x)

x^{2} y - 3 x y^{^{'}} - 2 y = 0