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

The solution for (dy)/(dx)=e^{2y+8x} is y=-(ln(-1/4 e^{8x}-c_{1}))/2

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(dy)/(dx)=e^{2y+8x}

\frac{d y}{d x} = e^{2 y + 8 x}

y = - \frac{ln ( - \frac{1}{4} e ^{8 x} - c _{1} )}{2}

Solution steps

\frac{d y}{d x} = e^{2 y + 8 x}

Solve separable ODE:

y = - \frac{ln ( - \frac{1}{4} e ^{8 x} - c _{1} )}{2}

y = - \frac{ln ( - \frac{1}{4} e ^{8 x} - c _{1} )}{2}

\frac{d}{d x} (sin^{3} (x^{2} + 7))

\frac{1}{2 s ^{2} + 8 s + 10}

\int \frac{1}{2} (x + y) e^{- x - y} d x

\frac{d}{d x} (\frac{1}{2} x^{\frac{4}{5}})

x \to 3 - lim (3 + x)

What is the solution for (dy)/(dx)=e^{2y+8x} ?
The solution for (dy)/(dx)=e^{2y+8x} is y=-(ln(-1/4 e^{8x}-c_{1}))/2