(a) Find a power series solution of the nonhomogeneous equation y 4 xy ...
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Question:
(a) Find a power series solution of the nonhomogeneous equation
y′′ − 4xy′ − 4y = ex,
about the ordinary point x = 0.
(b) Find the singular points of the differential equation
(x2 − 9)2y′′ + (x + 3)y′ + 2y = 0,
and classify them as regular or irregular.
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