$\%$ Define the symbolic variable

$\text{'}$syms$\text{'}^\{$t$\}^$y$($t$)$

$\%$ Define the differential equation

ode $=$ diff$($y$,$ t$)-$ y $==2*$t$^2-$ t $-5$;

$\%$ Define the initial conditions

initial$\_$conditions $=[$y$(1)==3,$ y$(0)==0]$;

$\%$ Solve the differential equation with initial conditions

sol $=$ dsolve$($ode$,$ initial$\_$conditions$)$;

$\%$ Generate a range of time values for plotting

t$\_$values $=$ linspace$(-2,2,100)$;

$\%$ Substitute the time values into the solution

y$\_$values $=$ subs$($sol$,$ t$,$ t$\_$values$)$;

$\%$ Plot the solution

figure;

plot$($t$\_$values, y$\_$values, 'LineWidth', $2)$;

xlabel$(\text{'}$Time $($t$)\text{'})$;

ylabel$(\text{'}$y$($t$)\text{'})$;

title$(\text{'}$Solution of y$\text{'}\text{'}-$ y $=2$t$^2-$ t $-5\text{'})$;

ylim$([-151010])$; $\%$ Set y$-$axis limits

legend$(\text{'}$y$($t$)\text{'})$;

grid on;