EULER'S METHOD

$4.$ A direction field for a differential equation is shown. $($a$)$ Draw wITH A RULER, the graphs of the Euler approximations to the solution curve that passes through the origin. Use step$-$size $h=1$ and $h=0\mathrm{.}5.$

$($b$)$ Will the Euler estimates be underestimates or overestimates? Explain.

Eyler will estimate underestimate the true Sloution b$/$c the concavity is concave up$,$ and

$y^2$ is alnoys Positive and $(2x+2)$ is

Positive for $x>-1$