What is the solution for (dy)/(dx)=(16x)/(e^y) ?

The solution for (dy)/(dx)=(16x)/(e^y) is y=ln(8x^2+c_{1})

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(dy)/(dx)=(16x)/(e^y)

\frac{d y}{d x} = \frac{16 x}{e ^{y}}

y = ln (8 x^{2} + c_{1})

Solution steps

\frac{d y}{d x} = \frac{16 x}{e ^{y}}

Solve separable ODE:

y = ln (8 x^{2} + c_{1})

y = ln (8 x^{2} + c_{1})

y + y^{^{'}} - 72 y = 0

\frac{d y}{d x} = \frac{x 4 - y ^{2}}{1 - x ^{2}}

u^{^{'}} = 2 e^{5 x - H (x)}

x^{^{'}} + (x - 25) + \frac{x - 25}{3} = 200

y^{^{'}} - 10 y + 25 y = 0

What is the solution for (dy)/(dx)=(16x)/(e^y) ?
The solution for (dy)/(dx)=(16x)/(e^y) is y=ln(8x^2+c_{1})