Suppose that f(x) and g(x) are given by the power series f(x) = 4 + 2x + 3z? + 2a + %3D ... and g(a) = 5 + 4x + 5a2 + 4x3 + .... By multiplying power series, find the first few terms of the series for the product h(x) = f(x) g(x) = co +Ca + C2a² + C3 r³ + .... %3D C = C3 = II

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose that f(x) and g(x) are given by the power series
f(x) = 4 + 2x + 3z2 + 2a3 + ...
%3D
and
g(x) = 5 + 4x + 5æ2 + 4x3 + ....
By multiplying power series, find the first few terms of the series for the product
h(x) = f(x) · g(æ) = co + Ca + C2æ² + c3x³ + . ...
Co =
C =
C2 =
Transcribed Image Text:Suppose that f(x) and g(x) are given by the power series f(x) = 4 + 2x + 3z2 + 2a3 + ... %3D and g(x) = 5 + 4x + 5æ2 + 4x3 + .... By multiplying power series, find the first few terms of the series for the product h(x) = f(x) · g(æ) = co + Ca + C2æ² + c3x³ + . ... Co = C = C2 =
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