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This question relates to the differential equation (x – 5) y" – 6x²y' + 11y = 0. Calculate the indicial equation for the power series solution Ean(x – 5)"+e y = n=0 of equation (4). Your answer must be a quadratic polynomial in terms of c. For example if your answer is 3c + 2c +1 then it must be entered as 3*c^2+2*c+1 Calculate the solutions of the indicial equation that you found in Question 5.1. Enter them as a list in the field that follows, e.g. if the solutions are c = 1, c=2 then enter [1,2]. Classify the point x = -5 of equation (4) as O Ordinary point O Regular singular point O Irregular singular point

This question relates to the differential equation (x – 5) y" – 6x²y' + 11y = 0. Calculate the indicial equation for the power series solution Ean(x – 5)"+e y = n=0 of equation (4). Your answer must be a quadratic polynomial in terms of c. For example if your answer is 3c + 2c +1 then it must be entered as 3*c^2+2*c+1 Calculate the solutions of the indicial equation that you found in Question 5.1. Enter them as a list in the field that follows, e.g. if the solutions are c = 1, c=2 then enter [1,2]. Classify the point x = -5 of equation (4) as O Ordinary point O Regular singular point O Irregular singular point

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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This question relates to the differential equation (x – 5) y" – 6x²y' + 11y = 0. Calculate the indicial equation for the power series solution y =Lan(x – 5)"+e n=0 of equation (4). Your answer must be a quadratic polynomial in terms of c. For example if your answer is 3c2 + 2c + 1 then it must be entered as 3*c^2+2*c+1 Calculate the solutions of the indicial equation that you found in Question 5.1. Enter them as a list in the field that follows, e.g. if the solutions are c = 1, c = 2 then enter [1,2]. Classify the point x = -5 of equation (4) as O Ordinary point O Regular singular point O Irregular singular point
Transcribed Image Text:This question relates to the differential equation (x – 5) y" – 6x²y' + 11y = 0. Calculate the indicial equation for the power series solution y =Lan(x – 5)"+e n=0 of equation (4). Your answer must be a quadratic polynomial in terms of c. For example if your answer is 3c2 + 2c + 1 then it must be entered as 3*c^2+2*c+1 Calculate the solutions of the indicial equation that you found in Question 5.1. Enter them as a list in the field that follows, e.g. if the solutions are c = 1, c = 2 then enter [1,2]. Classify the point x = -5 of equation (4) as O Ordinary point O Regular singular point O Irregular singular point
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