Section 8.2 Application of Eigenvalue Problems

A={{5,3},{3,5}}

Eigenvalues[A]

Eigenvectors[A]

D2y={y1''[t],y2''[t]}

A={{-5,2},{2,-2}}

eqn=D2y==A.{y1[t],y2[t]}

DSolve[eqn,{y1[t],y2[t]},t]

Eigensystem[A]