For the equation *y*'=*x* with *y*(0)=1, here are some explicit suggestions
to look at how the dependence of the error at *t*=1 depends on
choices of method, stepsize, and rounding technique.

**Euler Method 64 Bit:**- Try step sizes of , , and . Can you see a truncation error approximately proportional to ?
**Midpoint Euler Method 64 Bit:**- Try step sizes of and . Can you see a truncation error approximately proportional to ?
**Midpoint Euler Method 16 Bit Trunc round:**- Try step sizes of , , and . Can you see a roundoff error approximately proportional to ?
**Midpoint Euler Method 16 Bit Trunc down:**- Try step
sizes of
,
,
and
.
Can you
see a roundoff error approximately proportional to
?