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The point x = 0 is a regular singular point of the differential equation. xy" + y + 15y = 0 Use the general form of the indicial equation (14) in Section 6.3 r(r-1) +ar+ b₁ = 0 (14) to find the indicial roots of the singularity. (List the indicial roots below as a comma-separated list.) r = √-15, -√-15

The point x = 0 is a regular singular point of the differential equation. xy" + y + 15y = 0 Use the general form of the indicial equation (14) in Section 6.3 r(r-1) +ar+ b₁ = 0 (14) to find the indicial roots of the singularity. (List the indicial roots below as a comma-separated list.) r = √-15, -√-15

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The point x = 0 is a regular singular point of the differential equation. xy" + y + 15y = 0 Use the general form of the indicial equation (14) in Section 6.3 r(r-1) + ar + bo to find the indicial roots of the singularity. (List the indicial roots below as a comma-separated list.) r= √-15, -√-15 = 0 (14) Without solving, discuss the number of series solutions you would expect to find using the method of Frobenius. O Since these do not differ by an integer we expect to find one series solution using the method of Frobenius. Since these are equal we expect to find two series solutions using the method of Frobenius. Since these are equal we expect to find one series solution using the method of Frobenius. O Since these differ by an integer we expect to find one series solution using the method of Frobenius. O Since these differ by an integer we expect to find two series solutions using the method of Frobenius.
Transcribed Image Text:The point x = 0 is a regular singular point of the differential equation. xy" + y + 15y = 0 Use the general form of the indicial equation (14) in Section 6.3 r(r-1) + ar + bo to find the indicial roots of the singularity. (List the indicial roots below as a comma-separated list.) r= √-15, -√-15 = 0 (14) Without solving, discuss the number of series solutions you would expect to find using the method of Frobenius. O Since these do not differ by an integer we expect to find one series solution using the method of Frobenius. Since these are equal we expect to find two series solutions using the method of Frobenius. Since these are equal we expect to find one series solution using the method of Frobenius. O Since these differ by an integer we expect to find one series solution using the method of Frobenius. O Since these differ by an integer we expect to find two series solutions using the method of Frobenius.
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