Solve the IVP numerically, you should try this first by hand and then by using EXCEL or

writing a python or other program.

$$

$=$ f$($t$,$ y$)=$ t $-$ y

Let t$0=0,$ y$(0)=1$ and h $=0\mathrm{.}5$

Additionally, choose t to be in increment of $0\mathrm{.}5$ until you reach t $=2\mathrm{.}5.$ Show your result in

tabular form using the format below:

t Euler $($yn$)$

$$

$00$

$10\mathrm{.}5$

$21$

$31\mathrm{.}5$

$42$

$52\mathrm{.}5$