What is the solution for derivative of x^2+y^2=2xy ?

The solution for derivative of x^2+y^2=2xy is y=\W(1/(e^{(-c_{1)-x^2)/2}})+1

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derivative of x^2+y^2=2xy

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

y = W (\frac{1}{e ^{\frac{- c _{1} - x ^{2}}{2}}}) + 1

Solution steps

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

Solve separable ODE:

y = W (\frac{1}{e ^{\frac{- c _{1} - x ^{2}}{2}}}) + 1

y = W (\frac{1}{e ^{\frac{- c _{1} - x ^{2}}{2}}}) + 1

\frac{d y}{d x} y = x + 5

(\frac{( 5 y )}{( x ) - 24 x ^{(2)}}) d x + 5 d y = 0

\frac{d}{d x} ((2 y + 3)^{4}) = 5 x^{3} - 3 x

\frac{d y}{d x} - 11 x^{3} y = 0

\frac{d x}{d t} = x \cdot sin (t)

What is the solution for derivative of x^2+y^2=2xy ?
The solution for derivative of x^2+y^2=2xy is y=\W(1/(e^{(-c_{1)-x^2)/2}})+1