given that y(t) = ce^(−t) ,plot the solution y(t) vs. t in the range t ∈ [0, 5] and with a discretization step ∆t = 0.1. hint: t = 0:0.1:5. in matlab

To plot the solution y(t) vs. t for the given equation y(t) = ce^(-t) in the range t ∈ [0, 5] with a discretization step ∆t = 0.1 in MATLAB, you can follow these steps:

1. Define the values of t using the 0:0.1:5 syntax.
2. Calculate the values of y(t) using the given equation.
3. Plot the values of y(t) against t using the plot function.
4. Add labels to the plot and configure the axes if desired.
5. Display the plot using the grid on command (optional).

Here's the MATLAB code to plot the solution:

main.m
t = 0:0.1:5;
c = 1; % arbitrary constant value
y = c * exp(-t);

plot(t, y);
xlabel('t');
ylabel('y(t)');
title('Plot of y(t) = ce^{-t}');
grid on;
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Running this code will generate a plot showing the solution y(t) vs. t in the specified range with the discretization step ∆t = 0.1.