Let $y\left(x\right)$ be a solution of the differential equation $\left(1+e^x\right)y^{prime}+y{e}^x=1.$ If $y\left(0\right)=2$ , then which of the following statements is (are) true? (a)$y\left(-4\right)=0$ (b)$y\left(-2\right)=0$ (c)$y\left(x\right)$ has a critical point in the interval $\left(-1,0\right)$ (d)$y\left(x\right)$ has no critical point in the interval$\left(-1,0\right)$

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