(dS)/(dt)=0.04-S/((1140))

Lösung

\frac{d S}{d t} = 0.04 - \frac{S}{( 1140 )}

S = - e^{\frac{- t - c _{1}}{1140}} + 45.6

Schritte zur Lösung

\frac{d S}{d t} = 0.04 - \frac{S}{( 1140 )}

Solve separable ODE:

S = - e^{\frac{- t - c _{1}}{1140}} + 45.6

S = - e^{\frac{- t - c _{1}}{1140}} + 45.6

5 y^{^{'}} = 4 x + 2 x y

(1 + x^{2}) y^{^{'}} = 1 + y^{2}

t^{2} x^{^{'}} + x = 0

\frac{d y}{d x} = \frac{e ^{5 x}}{cos ( 2 y )}

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