What is the solution for x^2-2xy+x(dy)/(dx)=0 ?

The solution for x^2-2xy+x(dy)/(dx)=0 is y=(2x+1)/4+c_{1}e^{2x}

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x^2-2xy+x(dy)/(dx)=0

x^{2} - 2 x y + x \frac{d y}{d x} = 0

y = \frac{2 x + 1}{4} + c_{1} e^{2 x}

Solution steps

x^{2} - 2 x y + x \frac{d y}{d x} = 0

Solve linear ODE:

y = \frac{2 x + 1}{4} + c_{1} e^{2 x}

y = \frac{2 x + 1}{4} + c_{1} e^{2 x}

What is the solution for x^2-2xy+x(dy)/(dx)=0 ?
The solution for x^2-2xy+x(dy)/(dx)=0 is y=(2x+1)/4+c_{1}e^{2x}