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

The solution for (y-2x)y(dy)/(dx)=-x(y-2x) is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}

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(y-2x)y(dy)/(dx)=-x(y-2x)

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

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

Solution steps

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

Solve separable ODE:

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

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