What is the solution for (dx}{dy}=\frac{(x+2)^2)/x ?

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

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(dx}{dy}=\frac{(x+2)^2)/x

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

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

Solution steps

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

Solve separable ODE:

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

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

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

\frac{d y}{d x} = 2 (1 - x^{2}) (1 - y^{2})

3 \frac{d y}{d x} = \frac{4 x}{y ^{2}}

y^{^{'}} = 4 x + x y, y (0) = - 2

y^{^{'}} = 4 x + x y, y (0) = - 1

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