Let \(y(x)\) be a solution of the differential equation \((1+e^x)y'+ye^x=1\). If \(y(0)=2\), then which of the following statements is (are) true?
1
\(y(-4)=0\)
2
\(y(-2)=0\)
3
\(y(x)\) has a critical point in the interval \((-1, 0)\)
4
\(y(x)\) has no critical point in the interval \((-1, 0)\)