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The point x = 0 is a regular singular point of the differential equation. 1 x²y" + (²x + x²)x¹. y -y = 0. r= 4 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.) Without solving, discuss the number of series solutions you would expect to find using the method of Frobenius. O Since these differ by an integer we expect to find two series solutions using the method of Frobenius. O Since these are equal we expect to find two series solutions 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 do not differ by an integer we expect to find one series solution using the method of Frobenius. O Since these do not differ by an integer we expect to find two series solutions using the method of Frobenius.

The point x = 0 is a regular singular point of the differential equation. 1 x²y" + (²x + x²)x¹. y -y = 0. r= 4 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.) Without solving, discuss the number of series solutions you would expect to find using the method of Frobenius. O Since these differ by an integer we expect to find two series solutions using the method of Frobenius. O Since these are equal we expect to find two series solutions 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 do not differ by an integer we expect to find one series solution using the method of Frobenius. O Since these do not differ by an integer we expect to find two series solutions using the method of Frobenius.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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The point x = 0 is a regular singular point of the differential equation. 7 1 x²y" + (²x + x²)y¹ - ¹ y = 0. Use the general form of the indicial equation (14) in Section 6.3 r(r - 1) + ao r + bo = 0 (14) to find the indicial roots of the singularity. (List the indicial roots below as a comma-separated list.) r= Without solving, discuss the number of series solutions you would expect to find using the method of Frobenius. Since these differ by an integer we expect to find two series solutions using the method of Frobenius. Since these are equal we expect to find two series solutions using the method of Frobenius. Since these differ by an integer we expect to find one series solution using the method of Frobenius. Since these do not differ by an integer we expect to find one series solution using the method of Frobenius. Since these do not 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. 7 1 x²y" + (²x + x²)y¹ - ¹ y = 0. Use the general form of the indicial equation (14) in Section 6.3 r(r - 1) + ao r + bo = 0 (14) to find the indicial roots of the singularity. (List the indicial roots below as a comma-separated list.) r= Without solving, discuss the number of series solutions you would expect to find using the method of Frobenius. Since these differ by an integer we expect to find two series solutions using the method of Frobenius. Since these are equal we expect to find two series solutions using the method of Frobenius. Since these differ by an integer we expect to find one series solution using the method of Frobenius. Since these do not differ by an integer we expect to find one series solution using the method of Frobenius. Since these do not differ by an integer we expect to find two series solutions using the method of Frobenius.
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