(dy)/(dx)=a-by

Lösung

\frac{d y}{d x} = a - b y

y = - \frac{e ^{- b x - c_{1} b}}{b} + \frac{a}{b}

Schritte zur Lösung

\frac{d y}{d x} = a - b y

Solve separable ODE:

y = - \frac{e ^{- b x - c_{1} b}}{b} + \frac{a}{b}

y = - \frac{e ^{- b x - c_{1} b}}{b} + \frac{a}{b}

\frac{d y}{d x} = 12 x^{3} e^{y}

\frac{d x}{d t} = - \frac{x}{t}

\frac{d y}{d x} = \frac{x ^{2} + 1}{2 - y}

\frac{d y}{d x} = \frac{( x - 1 ) ^{2}}{3 y}

\frac{d x}{x ^{2} y} = \frac{d y}{2 y ^{2}}