The Euler equation x²y"+poxy+do y=0 (Po, % are real constants), has the indicial equation c(c-1)+poc+do = 0 with roots C1, C2. Determine the general solution in real form for the case where the indicial equation has complex conjugate roots.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 14E
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Please can you give detailed steps on how the solutions change from complex form to real form. Thanks.

The Euler equation
x²y"+poxy+do y=0
(Po, % are real constants), has the indicial equation
c(c-1)+poc+do = 0
with roots C1, C2. Determine the general solution in real form for the case where
the indicial equation has complex conjugate roots.
Transcribed Image Text:The Euler equation x²y"+poxy+do y=0 (Po, % are real constants), has the indicial equation c(c-1)+poc+do = 0 with roots C1, C2. Determine the general solution in real form for the case where the indicial equation has complex conjugate roots.
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