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1. Determine the solution to 2 Consider = where x(0) If your solution is a series solution, for what values of t will it converge to the solution of the differential equation? 4 and (0) x(t)+ = 5. (t-2) (t2+3) -x(t) = 0

1. Determine the solution to 2 Consider = where x(0) If your solution is a series solution, for what values of t will it converge to the solution of the differential equation? 4 and (0) x(t)+ = 5. (t-2) (t2+3) -x(t) = 0

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 im confused pls help

1. Determine the solution to x(t)+ where x(0) = 4 and (0) = 5. If your solution is a series solution, for what values of t will it converge to the solution of the differential equation? 2. Consider f(t) (t-2) (t²+3)x(t) = 0 where f(t +4) = f(t). (a) Sketch f(t). (b) Compute the Fourier series for f(t). 5, 0<t≤3 |0, 3<t≤4
Transcribed Image Text:1. Determine the solution to x(t)+ where x(0) = 4 and (0) = 5. If your solution is a series solution, for what values of t will it converge to the solution of the differential equation? 2. Consider f(t) (t-2) (t²+3)x(t) = 0 where f(t +4) = f(t). (a) Sketch f(t). (b) Compute the Fourier series for f(t). 5, 0<t≤3 |0, 3<t≤4
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