How do I represent the followin LTI equation in Laplace Representation on matlab? By hand it's done but i can't seem to make it work on matlab

Question

The car dynamics associated with the vehicle’s speed can be expressed by the following LTI equation:

$mdy/dt(t)=u(t)-45by(t)-45bw(t)-mg\theta(t) $

How do I write that on MATLAB in a Laplace representation?

$y(t)$ is the car’s speed in m/s,

$u(t)$ is the engine’s propelling force,

$w(t)$ represents the wind speed along the car’s travelling trajectory (if $ws(t) > 0$ then the wind direction is opposing the car’s travelling trajectory and vice versa),

$m = 1000 kg$ is the car’s nominal mass,

$g = 9.81m/s^2$ is the gravitational acceleration constant,

$b = 0.377$ is the aerodynamic coefficient associated with drag,

$\theta(t)$ is the road’s inclination angle in rad

Answer 1

You cannot physically transform this LTI into a Laplace transform on Matlab. It’ll have to be done by mathematically.