Consider the following ODE:

dy

dt $+$ y $=$ t $2$; y $(0)=1\mathrm{.}5$

Using Midpoint method, find the following values using a step size of h $=0\mathrm{.}5$:

$($a$)$ What is the value of $"$k$1"$ in the first time step? $[$Blank $1]$

$($b$)$ What is the value of $"$k$2"$ in the first time step? $[$Blank $2]$

$($c$)$ What is the value of "phi" in the first time step? $[$Blank $3]$

$($d$)$ What is the value of $"$y$"$ at t $=0\mathrm{.}5?[$Blank $4]$

$$Listen$$