Step $5$

Next we see the following. $($Do not round.$)$

$y_4=$

$=+(0\mathrm{.}1)f(,vv,v)$

Use Euler's method with step size $0\mathrm{.}1$ to estimate $y(0\mathrm{.}5),$ where $y(x)$ is the solution of the initial$-$value problem $y^{\text{'}}=4y+2xy,y(0)=1.$

Step $1$