Final answer:
To find the step response of a linear system using the ode command in MATLAB, define the system of equations and solve it numerically using an appropriate numerical integration method.
Step-by-step explanation:
To find the step response of a linear system of equations using the ode command in MATLAB, you need to define the system of equations and solve it numerically using an appropriate numerical integration method.
In this case, the system of equations can be represented as follows:
m·x'' + b·x' + k·x = 0
where m is the mass, b is the damping coefficient, k is the spring constant, x is the displacement, and x'' and x' are the first and second derivatives of x with respect to time, respectively.
Using the given values k=3, m=2, and b=0.5, you can write the system of equations as:
2·x'' + 0.5·x' + 3·x = 0
You can then use the ode45 function in MATLAB to solve this system of equations and obtain the step response.