(a) Verify that y 1 (x) = e x is a solution of xy'' (x + 10)y'...
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xy'' (x + 10)y' + 10y = 0.
(b) Use (5) to find a second solution y2(x). Use a CAS to carry out the required integration.
(c) Explain, using Corollary (A) of Theorem 4.1.2, why the second solution can be written compactly as
Transcribed Image Text:
10 1 y2(x) = Ex". п! У-(х) n=0
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a We have y y e x so xy x 10y 10y xe x x 10e x 10e ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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