Mathematics

Problem

A slope field for

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

is printed so that one unit on the

x

-axis equals

2\,\text{cm}

horizontally while one unit on the

y

-axis equals

1\,\text{cm}

vertically. Starting at the point

(0,2)

, apply a single Euler step with

\Delta x=0.4

. Give the coordinates of the next Euler point as they would appear on the printed page, in centimeters (horizontal, vertical).