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

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

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

\frac{d y}{d x} = e^{2 y - x}

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

Solution steps

\frac{d y}{d x} = e^{2 y - x}

Solve separable ODE:

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

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

y = (7 x - 4) (2 + 6 x)

x \to \infty lim (arctan (1 - x))

x \to 0 + lim (arctan (ln (x)))

\frac{d v}{d x} - \frac{1}{x} v = 8

\frac{ln ( x )}{e ^{x}}

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