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Consider the differential equation r y" + 5xy + 4y = 0. It is given that I= 0 is a regular singular point, the indicial equation is r +4r +4 =0, and a Frobenius solution is y, (1) = 1=2. Use these given information to find a general solution for the differential equation.

Consider the differential equation r y" + 5xy + 4y = 0. It is given that I= 0 is a regular singular point, the indicial equation is r +4r +4 =0, and a Frobenius solution is y, (1) = 1=2. Use these given information to find a general solution for the differential equation.

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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Consider the differential equation r y" + 5xy + 4y = 0. It is given that I= 0 is a regular singular point, the indicial equation is r+4r + 4=0, and a Frobenius solution is y1 (1) = x²2. Use these given information to find a general solution for the differential equation. + Drag and drop an image or PDF file or click to browse... Time 1 MATH 3132.png 2°C
Transcribed Image Text:Consider the differential equation r y" + 5xy + 4y = 0. It is given that I= 0 is a regular singular point, the indicial equation is r+4r + 4=0, and a Frobenius solution is y1 (1) = x²2. Use these given information to find a general solution for the differential equation. + Drag and drop an image or PDF file or click to browse... Time 1 MATH 3132.png 2°C
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