Penerapan diagonalisasi matriks pada sistem persamaan diferensial

ABSTRAK

Matrics is defined as one section of Linier Algebra. Many general problem can solved by Linier Algebra, for example: Physics, Chemistry and Mathematics. One of application is the differential equations, matrics diagonalization.The objective of this study is to determine the general solution of differential equations with matrics diagonalization.this research hopefully can be beneficial to solve system of differential equations.

In this study the writer collected, read and understood the several references related to method of matrics diagonalization. Hence the writer could solve the system of similar differential called literature study. After reading and understanding it the writer applied to exercise.

This purpose of these matrics diagonalization can be used as an alternative way to solve certant syetem of differential equations. The general solution of y' = ay the form y = ceax, and a is a constant.

Based on the result of this study, it is suggested to investigate a research as wide as possible namely appliying matrics diagonalizations in the system of similar differential with more unknown similaritas and functions.