APLIKASI NILAI EIGEN PADA PEMECAHAN PERSAMAAN DIFERENSIAL

A simple differential equation system can be written in a matrix notation of Y = AY, where A is a matrix coefficient that can be diagonalized. Eigen values of A is used to find a P matrix that diagonalize A. By substitution of Y = PU and Y' = PU' to find "a new diagonalize system" of U' = DU, where D = P1 AP. Solution of U'- DU is then used to determine Y from Y = PU equation. These results has been use to solve linear differential equation and its application.