(dy)/(dx)=2(1-y)

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{\partial}{\partial y} (\frac{- 1}{x ^{2} + y ^{2}})

\frac{\partial}{\partial x} (e^{(4 x y)})

d er i v a t i v e y = x lo g_{e} (x)

x \to 4 lim (- 2 x^{2} + 4 x - 4)

3 \frac{d y}{d x} + \frac{8}{x y ^{2}} = 0