**Task:**

Solve the following second order linear homogeneous ODE using Matlab:

*y*” +4* y*‘ – 3*y* = 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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