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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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