(dy)/(dt)= 2/100-(3y)/(100)

Lösung

\frac{d y}{d t} = \frac{2}{100} - \frac{3 y}{100}

y = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + \frac{2}{3}

Schritte zur Lösung

\frac{d y}{d t} = \frac{2}{100} - \frac{3 y}{100}

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + \frac{2}{3}

y = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + \frac{2}{3}

y \cdot d y - 2 x y^{2} \cdot d x = 0

\frac{y ^{^{'}}}{x} = - 6 y

2 y^{^{'}} = \frac{7 e ^{x}}{2 + y}

\frac{d x}{d y} = x y + x - 2 y - 2

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