Daftar Isi: APLIKASI RESIDU UNTUK MENYELESAIKAN PERSAMAAN DIFERENSIAL PARSIAL

Daftar Isi:

The differential equation is a equation that consists of derivative from one dependent variable and one or more independent variable. To accomplish the differential equation we need to know what the classification before. In this paper the author wants to describe how to solve linear homogeneous of partial differential equations of the second order by using the residue theorem. This paper use literature method. The literature method is the way to collect data from any sources such as books, journals, thesis etc. The result of this paper is obtained that thee way to solve linear homogenous of partial differential equations of the second order by using the residue theorem, the common form of the differential equation can be written as bellow: Au_xx+Bu_xy+Cu_yy+Du_x+Eu_y+Fu=0, by using the example of e^(ax+by), from the example will be gotten the polynomial characteristic that is g(z)=A∙z(z-1)+B∙z(z-1)+C∙z(z-1)+D∙z+E∙z+F, and than it will be gotten the roots from the characteristic which will be used to accomplish the linear homogeneous of partial differential equations of the second order by using the residue theorem, the form is : y=∑▒〖Res 〗 (f(z) (Ax+By)^z)/(g(z)), with f(z) is regular function.