Solve Ode: MATLAB Assignment Help

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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