(dy)/(dx)=a-b*y

Lösung

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

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

Schritte zur Lösung

\frac{d y}{d x} = a - b \cdot 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} - 3 y = 12

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

x^{^{'}} - 2 x = 4

x d x + (sin (y) + x^{2} sin (y)) d y = 0

2 (x - 1) y^{^{'}} = 7 y