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Unformatted text preview: SECTION 5.2 POWER SERIES AND DIFFERENTIAL EQUATIONS
Solve the given diﬀerential equation by means of a power series about the given point x0 .
Find the recurrence relation; also ﬁnd the ﬁrst four nonzero terms in each of two solutions
that form a fundamental set (unless the series ends sooner). If possible, ﬁnd the general
term in each solution.
y + xy + 2y = 0, x0 = 0 Find the ﬁrst ﬁve nonzero terms in the solution of the following initial value problem.
(1 − x)y + xy − y = 0, HOMEWORK: SECTION 5.2 y (0) = −3, y (0) = 2 ...
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