(dx)/(dy)=1-0.4x

Lösung

\frac{d x}{d y} = 1 - 0.4 x

x = - \frac{5 e ^{\frac{- 2 y - c _{1}}{5}}}{2} + \frac{5}{2}

Schritte zur Lösung

\frac{d x}{d y} = 1 - 0.4 x

Solve separable ODE:

x = - \frac{5 e ^{\frac{- 2 y - c _{1}}{5}}}{2} + \frac{5}{2}

x = - \frac{5 e ^{\frac{- 2 y - c _{1}}{5}}}{2} + \frac{5}{2}

y^{^{'}} - x^{2} cos (y) = x^{2}

y^{^{'}} = y^{2} x^{2}

\frac{d y}{d x} = 8 x sec (y)

\frac{d y}{d x} = 0.4 x y

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