%0 Generic
%A SINDI AMANDA SARI, 1517031053
%C UNIVERSITAS LAMPUNG
%D 2019
%F eprints:54802
%I FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM
%T FUNGSI HIPERGEOMETRI DARI DISTRIBUSI GENERALIZED F
%U http://digilib.unila.ac.id/54802/
%X Ordinary differential equations (PDB) are equations involving one or more  functions and their derivatives with respect to a free variable. Differential  equations with variable coefficients are difficult to solve in the normal way, so we  need another method to solve them, the frobenius method. This study aims to  obtain a solution of the Generalized F (GF) distribution differential equation in the  form of the Hypergeometry Function. Where the Generalized F distribution  differential equation is obtained by deriving the opportunity density function  twice as much as the random variable x is obtained    ( )  ( )  .  ODE Generalized F distribution is solved by the frobenius method, so a solution is  obtained ∑  ( )  ( )  ( )  ∑  ( )  ( )  ( )  ( )    Keywords: Ordinary Differential Equation (ODE), Frobenius Method,  Generalized F (GF) distribution, Hypergeometry Function    Persamaan diferensial biasa (PDB) adalah persamaan yang menyangkut satu atau  lebih fungsi beserta turunannya terhadap satu peubah bebas. Persamaan  diferensial dengan koefisien variabel sulit untuk diselasaikan dengan cara biasa,  Sehingga diperlukan metode lain dalam menyelesaikannya yaitu metode  frobenius. Penelitian ini bertujuan memperoleh solusi dari persamaan diferensial  distribusi Generalized F (GF) dalam bentuk Fungsi Hipergeometri. Dimana  persamaan diferensial distribusi GF diperoleh dengan cara menurunkan fungsi  kepekatan peluang sebanyak dua kali terhadap peubah acak x diperoleh  ( )  ( )  . Persamaan diferensial distribusi GF diselesaikan    dengan metode frobenius, sehingga diperoleh solusi  ∑  ( )  ( )  ( )  ∑  ( )  ( )  ( )  ( )    Kata Kunci: Persamaan Diferensial Biasa, Metode Frobenius, Distribusi    Generalized F (GF), Fungsi Hipergeometri.