(dx)/(dy)=e^x

Lösung

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

x = - ln (- y - c_{1})

Schritte zur Lösung

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

Solve separable ODE:

x = - ln (- y - c_{1})

x = - ln (- y - c_{1})

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

2 y y^{^{'}} = 1 + (y^{^{'}}) 2

x y^{^{'}} = y^{2} - 1

\frac{x ^{3} + 1}{x ^{2}} \frac{d y}{d x} = \frac{1}{y}

y y^{^{'}} = - 5 x