Mathematical Methods in the Physical Sciences · Problem 8.18

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · green-functions-variation-of-parameters

Problem

Use the Green function method and the given solutions of the homogeneous equation to find a particular solution of the nonhomogeneous differential equation: (x2+1)y′′−2xy′+2y=(x2+1)2;x, 1−x2(x^2+1)y'' - 2xy' + 2y = (x^2+1)^2; \quad x,\ 1-x^2

Related theory

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