Introduction

Scripts are great but always think about encapsulating code into functions. This is especially helpful when you create intermediate variables that you don't need in your script.

Task

Write a function to calculate given an array of time values, $.$ The function also has two scalar parameters, and $.$

I'll add one more constraint $-$ the output vector must be a column vector, with dimensions where is the length of the time array.

Skills

Array math using the $.*$ notation

Forcing an array to be a column

function y $=$ decayFn$($t$,$a$,$w$)$

$\%$ decayFn

$\%$ t is an array of times

$\%$ a is a scalar that effects the decay rate

$\%$ w is a scalar that effects the oscillation frequency

$\%$ Force the input to be a column array. That way the output will also be a column array.

t$=$t$($:$)$;

$\%$ Calculate the output

y $=[$t$]$;

end

t $=0$:$\mathrm{.}01$:$5$; $\%$ row vector of time points

a $=-2$; $\%$ set the decay

w $=2*$pi; $\%$ set the frequency

y $=$ decayFn$($t$,$a$,$w$)$; $\%$ call the function

plot$($t$,$y$)$;grid;xlabel$(\text{'}$Time $($s$)\text{'})$;ylabel$(\text{'}$y$\text{'})$; $\%$ make a plot to help with debugging