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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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