Pundir’s text is typically divided into two major interlinked sections.
Using Pundir’s Green’s function method, you first find the Green’s function for ( u'' = 0 ) with the same BCs: [ G(x,t) = \begincases x(t-1) & 0 \le x \le t \ t(x-1) & t \le x \le 1 \endcases ] Then the solution is: ( y(x) = \int_0^1 G(x,t) [y(t)+t] dt ). This is a Fredholm equation of the second kind. integral equations and boundary value problems by pundir pdf
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