Task:
Solve the following second order linear homogeneous ODE using Matlab:
y” +4 y‘ – 3y = 0,
y(0) = 1, y‘(0) = 0
Solution:
The characteristic polynomial has the following roots:
The general solution of the ODE is then: 
We can now solve for the unknown coefficients c1, c2:
The solution is found by substituting the correct values for c1 and c2:
Here is a better view of the solution:
Now we can plot the solution:
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