Q$.1($A$)$ Solve the following differential equation in MATLAB using solver 'ode $45\text{'}$

$\frac{dx}{dt}=t+t^3$

solve this equation for the time interval $[05]$ with a step size of $0\mathrm{.}2$ and the initial condition is $0.$ Plot $t$ vs $x.$

$($B$)$ Solve the above differential equation analytically and write the function file to evaluate x for the time interval $[05]$ with a step size of $0\mathrm{.}2$ and the initial condition is $0.$ Plot $t$ vs $x.$