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22.12, §2 Solution

Solve as a System:

Define new dependent variables x1=x and .

Matrix form :

Homogeneous equation:

where and are the eigenvalues of A and and the eigenvectors:

Particular solution :guess that is constant, then .Solve:

Total solution:

Put in the initial conditions:

which gives , .

Final solution:


Up: 22.12 Previous: 22.12, §1 Asked