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(a) Find the general solution to the differential equation dy + cotry1. dr (b) Here are graphs of solutions of the above equation on 0, xr) While most solutions tend to too or 00 at zero, there is one solution (graph shown in black) that has a finite limit as z tends to zero Find this solution. Explain why this solution is the only one that has a timit at zero

(a) Find the general solution to the differential equation dy + cotry1. dr (b) Here are graphs of solutions of the above equation on 0, xr) While most solutions tend to too or 00 at zero, there is one solution (graph shown in black) that has a finite limit as z tends to zero Find this solution. Explain why this solution is the only one that has a timit at zero

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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(a) Find the general solution to the differential equation dy + cot ry= 1. dr (b) Here are graphs of solutions of the above equation on 0, Whle most solutions tend to too or -00 at zero, there is one solution (graph shown in black) that has a finite limit as z tends to zero Find this solution. Explain why this solution is the only one that has a limit at zero
Transcribed Image Text:(a) Find the general solution to the differential equation dy + cot ry= 1. dr (b) Here are graphs of solutions of the above equation on 0, Whle most solutions tend to too or -00 at zero, there is one solution (graph shown in black) that has a finite limit as z tends to zero Find this solution. Explain why this solution is the only one that has a limit at zero
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