What is the solution for (dx)/(dy)=(6x-1)e^y ?

The solution for (dx)/(dy)=(6x-1)e^y is y=ln(1/6 ln(6x-1)+c_{1})

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

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

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

Solution steps

\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})

\frac{d y}{d t} = - 5 y, y (0) = 8

\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)

What is the solution for (dx)/(dy)=(6x-1)e^y ?
The solution for (dx)/(dy)=(6x-1)e^y is y=ln(1/6 ln(6x-1)+c_{1})