(dy)/(dx)=1-x+y-xy

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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

\frac{d y}{d x} = c_{1} y + 1

\frac{d v}{d t} = g - k v (t), v = 0, t = 0

\frac{d y}{d x} + 2 y = 11

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