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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8346c4e-0a9d-4e3c-96c5-4449522ad6e6%2Fb7bfa6a0-6da2-4b09-8b26-af2456fe4892%2F700aqil_processed.png&w=3840&q=75)
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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