Abstract
The equation: which appears freqpuently in the problems of linear heat conduction was integrated, when A(x) is a function of x, in the interval First we give the case The corresponding solution when
Next a general method of integration was given when A(x) is any given function of x and for the interval, of course being able to be extended to the case By a method similar to Stokes', the solution for is give by
where Xs, s=1, 2, 3, .... are the solutions of the equation
subject to the conditions
that is, Xs(x) are orthogonal functions and the constants λs are also determined at the same time. Several examples were also given.
