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

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

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

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

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

Solution steps

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

Solve using substitution:

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

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

4 x + 9

n = 1 \sum \infty 8 - 7 (0.8)^{n}

x \to 17 lim (3 x + 2)

y = (3 x^{2} + 5)^{4}

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

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