Solve Ode: MATLAB Assignment Example


Solve the following second order linear homogeneous ODE using Matlab:

y” +4 y‘  – 3y = 0,

y(0) = 1, y‘(0) = 0


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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