The function satisfies with initial condition

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Applications and Interpretation · Calculus · Calculus

Problem

The function

y

satisfies

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

with initial condition

y(0)=1

. Using three equal steps of size

\Delta x=0.2

beginning at

x=0

, approximate the value of

y

when

x=0.6

. Report your final numerical approximation.