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Problem #11: Consider the following differential equation, 5xy" +(2+x) y + y = 0. = Note that xo - 0 is a regular singular point. Suppose that we look for a series solution of the form y = ∞ Σc₂x+r n=0 (a) Find the two roots of the indicial equation. (b) The recurrence formula for the coefficients of the solution with the larger root is given by Ck+1 = g(k) ck, k20. Enter the function g(k) into the answer box below. (c) Taking co = 1, find the first 3 terms of the solution corresponding to the largest root.

Problem #11: Consider the following differential equation, 5xy" +(2+x) y + y = 0. = Note that xo - 0 is a regular singular point. Suppose that we look for a series solution of the form y = ∞ Σc₂x+r n=0 (a) Find the two roots of the indicial equation. (b) The recurrence formula for the coefficients of the solution with the larger root is given by Ck+1 = g(k) ck, k20. Enter the function g(k) into the answer box below. (c) Taking co = 1, find the first 3 terms of the solution corresponding to the largest root.

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 15CR
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Problem #11: Consider the following differential equation, 5xy" +(2+x) y' + y = 0. Note that x = 0 is a regular singular point. Suppose that we look for a series solution of the form y = ∞ Σc₂x+r n=0 (a) Find the two roots of the indicial equation. (b) The recurrence formula for the coefficients of the solution with the larger root is given by Ck+1= g(k) ck, k≥ 0. Enter the function g(k) into the answer box below. 1, find the first 3 terms of the solution corresponding to the largest root. (c) Taking co =
Transcribed Image Text:Problem #11: Consider the following differential equation, 5xy" +(2+x) y' + y = 0. Note that x = 0 is a regular singular point. Suppose that we look for a series solution of the form y = ∞ Σc₂x+r n=0 (a) Find the two roots of the indicial equation. (b) The recurrence formula for the coefficients of the solution with the larger root is given by Ck+1= g(k) ck, k≥ 0. Enter the function g(k) into the answer box below. 1, find the first 3 terms of the solution corresponding to the largest root. (c) Taking co =
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