Integration by substitution

Calculus Level 4

Let \(g(x)\) be a differentiable function defined on the domain \(x > -2\) satisfying the following conditions: \[\begin{align} g(0)&=0 \\ (x+2)g'(x)-2g(x)+2&=0\\ g(x) &\neq 1. \end{align}\] Find \(g(2).\)

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