chapter  9
78 Pages

- Second-Order Elliptic Equations with Two Space Variables


x2 + y2 + C,

w(x, y) = (A cosµx+B sinµx) exp(±µy), w(x, y) = (A sinh µx+B cosh µx)(C cosµy +D sinµy), w(x, y) = (A cosµx+B sinµx)(C sinh µy +D cosh µy), w(x, y) = A ln

[ (x− x0)2 + (y − y0)2

] +B,

where A, B, C , D, x0, y0, and µ are arbitrary constants.