e^{-2y}(dy)/(dx)=x-2,y(1)=0

Lösung

e^{- 2 y} \frac{d y}{d x} = x - 2, y (1) = 0

y = - \frac{ln ( - x ^{2} + 4 x - 2 )}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{ln ( - x ^{2} + 4 x - 2 )}{2}

y = - \frac{ln ( - x ^{2} + 4 x - 2 )}{2}

y^{^{'}} = n \frac{y}{x}

3 y^{2} \frac{d y}{d x} = 4 x^{3}

x u^{^{'}} - a H (x) = 0

t^{^{'}} = (2 t - 1)^{3}

\frac{d y}{d x} = 10 - \frac{y}{50}