For the differential equation

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

\frac{dy}{dx}=\frac{y}{2}

, consider the solution that passes through

(0,4)

. Taking two equal horizontal steps of length

0.5

and using the indicated slopes to update

y

at each step, approximate the value of

y

when

x=1

. Round your answer to the nearest tenth.