(dx)/(dy)=(6x-1)e^y

Lösung

\frac{d x}{d y} = (6 x - 1) e^{y}

y = ln (\frac{1}{6} ln (6 x - 1) + c_{1})

Schritte zur Lösung

\frac{d}{d y} (x) = (6 x - 1) e^{y}

Solve separable ODE:

y = ln (\frac{1}{6} ln (6 x - 1) + c_{1})

y = ln (\frac{1}{6} ln (6 x - 1) + c_{1})

y^{^{'}} = 3 t 3 y^{2}

\frac{d y}{d x} = 3 x^{2} y^{2}, y! = 0

y^{^{'}} + x \cdot y = x \cdot y^{2}

\frac{d y}{d x} = 3 x^{2} (- 2 y + 3)

f^{^{'}} (x) - 2 f (x) = 0