Mathematics

Mathematics

Problem

For the differential equation dydx=y2\frac{dy}{dx}=\frac{y}{2}, consider the solution that passes through (0,4)(0,4). Taking two equal horizontal steps of length 0.50.5 and using the indicated slopes to update yy at each step, approximate the value of yy when x=1x=1. Round your answer to the nearest tenth.

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