(dy)/(dx)=8(2-y)

Lösung

\frac{d y}{d x} = 8 (2 - y)

y = - e^{- 8 x - c_{1}} + 2

Schritte zur Lösung

\frac{d y}{d x} = 8 (2 - y)

Solve separable ODE:

y = - e^{- 8 x - c_{1}} + 2

y = - e^{- 8 x - c_{1}} + 2

y^{^{'}} = 4 x y - 2 x, y (0) = 4

(x + 1) y^{^{'}} + y = 0

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

\frac{d y}{d x} = \frac{8 e ^{x}}{e ^{y}}

\frac{d y}{d t} = y t - 1, y (1) = 4