(dx)/(dt)=18-(72x)/(100)

Lösung

\frac{d x}{d t} = 18 - \frac{72 x}{100}

x = - \frac{e ^{\frac{- 18 t - c _{1}}{25}}}{18} + 25

Schritte zur Lösung

\frac{d x}{d t} = 18 - \frac{72 x}{100}

Solve separable ODE:

x = - \frac{e ^{\frac{- 18 t - c _{1}}{25}}}{18} + 25

x = - \frac{e ^{\frac{- 18 t - c _{1}}{25}}}{18} + 25

y^{^{'}} + \frac{( 1 0 ^{3} )}{4} y - 2 \cdot 1 0^{3} = 0

\frac{d y}{d x} x^{6} y + 8 = y + 7

\frac{d y}{d x} = 6 x^{5} y

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

y y^{^{'}} = 4 x + 9