What is the solution for (dy)/(dx)=(4e^{4x})/(e^y) ?

The solution for (dy)/(dx)=(4e^{4x})/(e^y) is y=ln(e^{4x}+c_{1})

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(dy)/(dx)=(4e^{4x})/(e^y)

\frac{d y}{d x} = \frac{4 e ^{4 x}}{e ^{y}}

y = ln (e^{4 x} + c_{1})

Solution steps

\frac{d y}{d x} = \frac{4 e ^{4 x}}{e ^{y}}

Solve separable ODE:

y = ln (e^{4 x} + c_{1})

y = ln (e^{4 x} + c_{1})

\int 2 e^{- s t} d t

\frac{( s - 1 )}{s ^{2} + 2 s + 2}

x \to \infty lim (3 - f (x))

8 x^{3} - 36 x^{2} - 96

\frac{d}{d x} (2 arcsec (x))

What is the solution for (dy)/(dx)=(4e^{4x})/(e^y) ?
The solution for (dy)/(dx)=(4e^{4x})/(e^y) is y=ln(e^{4x}+c_{1})