y(t) = ce^(−t); c = 10. 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 given solution y(t) = ce^(-t) with c = 10 in the range t ∈ [0, 5] and a discretization step ∆t = 0.1 in MATLAB, you can follow these steps:

1. Define the range of t using the colon operator in MATLAB: t = 0:0.1:5. This will create a vector with values ranging from 0 to 5 with a step size of 0.1.

2. Calculate the corresponding values of y(t) using the given formula y(t) = ce^(-t). In this case, c = 10. So, you can use the element-wise exponential function in MATLAB, exp(), to calculate y(t): y = 10 * exp(-t).

3. Plot the obtained values of y(t) against t using the plot() function in MATLAB: plot(t, y).

Here's the MATLAB code that implements the steps mentioned above:

main.m
t = 0:0.1:5;
y = 10 * exp(-t);
plot(t, y)
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When you run this code in MATLAB, it will plot the graph of y(t) vs t, where t ranges from 0 to 5 with a step size of 0.1 and y(t) is calculated using the formula y(t) = 10 * e^(-t).