Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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A5 Show that x =0 is a regular singular point of the equation 4xy" + 3y' + y =0 and find the indicial equation. Find two independent Frobenius solutions of the equa- tion, evaluating each series up to the coefficient a3.
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Transcribed Image Text:A5 Show that x =0 is a regular singular point of the equation 4xy" + 3y' + y =0 and find the indicial equation. Find two independent Frobenius solutions of the equa- tion, evaluating each series up to the coefficient a3.
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Step 1: We given definition of regular singular point and method of Frobenius.
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Step 2: We show x=0 is a regular singular point and find roots of indicial equation.
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Step 3: We find recurrence relation.
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