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\textLet the solution curve y=y(x) \text of the differential equation (1+e^2x)!\left(\dfracdydx+y\right)=1 \text pass through the point \left(0,\dfracπ2\right). \textThen \lim_x\to\infty e^xy(x) \text is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.