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6. For the given differential equation. (x²-4)y" + 2(x+2)y - 3y = 0 (a) Rewrite the equation in the form y" + P(x)y' + Q(x)y= 0. Identify functions P and Q. (b) Find the singular points (c) Classify singular points as regular or irregular using the fuctions p(x) and g(x).

6. For the given differential equation. (x²-4)y" + 2(x+2)y - 3y = 0 (a) Rewrite the equation in the form y" + P(x)y' + Q(x)y= 0. Identify functions P and Q. (b) Find the singular points (c) Classify singular points as regular or irregular using the fuctions p(x) and g(x).

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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6. For the given differential equation (x²-4)y" + 2(x + 2)y - 3y = 0 (a) Rewrite the equation in the form y" + P(x)y' +Q(x)y = 0. Identify functions P and Q. (b) Find the singular points (c) Classify singular points as regular or irregular using the fuctions p(x) and g(x). (d) Find the minimum radius of convergence R for the power series solution where to = 3. 7 For the given differential equation Σen (x-xo)" n=0
Transcribed Image Text:6. For the given differential equation (x²-4)y" + 2(x + 2)y - 3y = 0 (a) Rewrite the equation in the form y" + P(x)y' +Q(x)y = 0. Identify functions P and Q. (b) Find the singular points (c) Classify singular points as regular or irregular using the fuctions p(x) and g(x). (d) Find the minimum radius of convergence R for the power series solution where to = 3. 7 For the given differential equation Σen (x-xo)" n=0
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