What is the solution for (dy)/(dx)=6yln(2/y) ?

The solution for (dy)/(dx)=6yln(2/y) is y= 2/(e^{e^{-6x-c_{1)}}}

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(dy)/(dx)=6yln(2/y)

\frac{d y}{d x} = 6 y ln (\frac{2}{y})

y = \frac{2}{e ^{e^{- 6 x - c_{1}}}}

Solution steps

\frac{d y}{d x} = 6 y ln (\frac{2}{y})

Solve separable ODE:

y = \frac{2}{e ^{e^{- 6 x - c_{1}}}}

y = \frac{2}{e ^{e^{- 6 x - c_{1}}}}

- \frac{d h}{d t} = 5 h

ln (x) y^{^{'}} - \frac{2 y}{x} = 0

3 e^{7 x} \frac{d y}{d x} = - 49 \frac{x}{y ^{2}}, y (0) = 1

a y d x + x d y = 0

y^{^{'}} 2 y = 3 e^{4 x} - 4 sin (4 x), y (0) = - 5

What is the solution for (dy)/(dx)=6yln(2/y) ?
The solution for (dy)/(dx)=6yln(2/y) is y= 2/(e^{e^{-6x-c_{1)}}}