(dS)/(dt)=0.03-S/(360)

Lösung

\frac{d S}{d t} = 0.03 - \frac{S}{360}

S = - e^{\frac{- t - c _{1}}{360}} + 10.8

Schritte zur Lösung

\frac{d S}{d t} = 0.03 - \frac{S}{360}

Solve separable ODE:

S = - e^{\frac{- t - c _{1}}{360}} + 10.8

S = - e^{\frac{- t - c _{1}}{360}} + 10.8

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

x^{^{'}} + \frac{x}{50} = 2

x y^{^{'}} cos (y) + sin (y) = 0

(1 + x^{2}) y^{^{'}} - 2 x (y + 3) = 0

\frac{d y}{d x} = y + 7