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On the general solution of a linear second order equation with variable coefficients
Author(s) -
Clements David L.,
Rogers C.
Publication year - 1983
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300010445
Subject(s) - mathematics , simple (philosophy) , variable (mathematics) , first order partial differential equation , order (exchange) , mathematical analysis , linear differential equation , homogeneous differential equation , partial differential equation , differential equation , ordinary differential equation , differential algebraic equation , philosophy , epistemology , finance , economics
A linear second order partial differential equation with variable coefficients is considered. The equation is relevant in a number of physical situations. Simple general solutions are obtained subject to the coefficients satisfying certain constraints.