%A  1417031048 FATHURROHMAN AL AYUBI
%T MENYELESAIKAN PERSAMAAN DIFERENSIAL LINEAR ORDE-n
NON HOMOGEN DENGAN FUNGSI GREEN
%X Dalam penelitian ini akan disajikan bagaimana menyelesaikan persamaan
diferensial linear orde-n non homogen dengan fungsi Green melalui transformasi
Laplace. Solusi umum dari persamaan diferensial linear orde-n non homogen
terdiri dari solusi homogen dan solusi non homogen. Solusi non homogen sering
juga disebut solusi partikulir. Selanjutnya dari solusi partikulir ini dapat
diselesaikan dengan fungsi Green melalui transformasi Laplace. Berdasarkan hasil
penelitian ini, didapat bahwa persamaan diferensial linear orde-n non homogen
dapat diselesaikan dengan fungsi Green melalui transformasi Laplace. Solusi
umum yang diperoleh yaitu:
( ) ( ) ? ( ) ( )
Kata Kunci: persamaan diferensial linear orde-n non homogen, fungsi green,
transformasi laplace

abstract

This research will present how to solve nth-order non homogeneous linear
differential equation by using green function through Laplace transformation. The
general solution of nth-order non homogeneous linear differential equation
includes homogeneous solution and non homogeneous solution. Non
homogeneous solution is also known as particular solution. From the particular
solution, here after it could be solved by using green function through Laplace
transformation. Based on this research, we later obtained that nth-order non
homogeneous linear differential equation can be solved using green function
through Laplace transformation. The general solution obtained was:
( ) ( ) ? ( ) ( )
Keywords: nth-order non homogeneous linear differential equation, green
function, laplace transformation
%C UNIVERSITAS LAMPUNG
%D 2018
%I FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM 
%L eprints31345