If $\frac{dy}{dx}=\frac{{2}^{x}y+{2}^{y}\cdot {2}^{x}}{{2}^{x}+{2}^{x+y}{\log }_{c}2},y(0)=0$, then for $y=1$, the value of $ x $ lies in the interval: [JEE Main 2021, 31 Aug (Shift 2)]

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If \(\frac{dy}{dx}=\frac{{2}^{x}y+{2}^{y}\cdot {2}^{x}}{{2}^{x}+{2}^{x+y}{\log }_{c}2},y(0)=0\), then for \(y=1\), the v…

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