A numerical procedure with step size gives the estimate for the solution to with

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

Problem

A numerical procedure with step size

0.2

gives the estimate

y(1.0)\approx4.37

for the solution to

\dfrac{dy}{dx}=xy

with

y(0)=1

. In one sentence, describe what the value

4.37

represents in the context of the differential equation.