What is the solution for (x-3)e^{(-2y)}=(dy)/(dx) ?

The solution for (x-3)e^{(-2y)}=(dy)/(dx) is y=(ln(x^2-6x-c_{1}))/2

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(x-3)e^{(-2y)}=(dy)/(dx)

(x - 3) e^{(- 2 y)} = \frac{d y}{d x}

y = \frac{ln ( x ^{2} - 6 x - c _{1} )}{2}

Solution steps

(x - 3) e^{(- 2 y)} = \frac{d y}{d x}

Solve separable ODE:

y = \frac{ln ( x ^{2} - 6 x - c _{1} )}{2}

y = \frac{ln ( x ^{2} - 6 x - c _{1} )}{2}

d er i v a t i v e f (x) = ln (x (1 - x))

\int \frac{1}{x ( x ^{4} - 1 )} d x

d er i v a t i v e \frac{7}{x ^{6}}

3 (1 + x^{2}) \frac{d y}{d x} = 2 x y^{4}

\int \frac{1}{4 - 9 x ^{2}} d x

What is the solution for (x-3)e^{(-2y)}=(dy)/(dx) ?
The solution for (x-3)e^{(-2y)}=(dy)/(dx) is y=(ln(x^2-6x-c_{1}))/2