Not sure this is what you need but the system is equivalent to:Originally Posted by braddy
where and are column vectors.
RonL
Hi, Please can someone help me on how to do this exercise.
Give a fundamental matrix for the system:
{x'(t)=-y(t)
{y'(t)=20x(t)-4y(t)
the solution is like:
{v1(t)=e^(2t)*cos(4t)[1;4]+e^(2t)*sin(4t)[-1;-2], v2(t)=e^(2t)*cos(4t)[1;4]+e^(2t)*sin(4t)[0;-4]}
[1;4].......are colunm vectors.
IT is just a form sample .since it is a multiple choice question, I just took one solution to show you what it might look like.
Thank you,
B