Recent content by sndoyle1

Homework Statement Find a fundamental matrix for the system x'(t)=Ax(t); where 5 -3 -2 A = 8 -5 -4 -4 3 3 The second part of the question is to find eAt Homework Equations I know that you have to find the 3 eigenvectors and then the 'general solution' without...

Thanks, it worked out. I have a hard time knowing what 'guess' to use for the derivative. How did you know to put it over x instead of x-3? I have a test tomorrow, so I want to make sure that I can do things properly.

Homework Statement solve: y""+6y'+9y=e-3x/x3 Homework Equations y=yc+yp The Attempt at a Solution I found yc=C1e-3x+C2xe-3x and am having difficulties finding yp. I am wondering which method would be the best to determine yp: - annihilators - undetermined coefficients -...

you are correct. I was confused with the question and obviously drew a blank.

I found the answer using Abel's theorem.

Homework Statement x2y"-(x2+2x)y'+(x+2)y=0 known solutions: y1(2)=2 y1'(2)=1 y2(2)=2e2 y2'(2)=3e2 Determine the wronskian Homework Equations yc=C1er1x+C2er2x I also know how to find the wronskian via a determinant The Attempt at a Solution I have tried to divide out...