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Problem #6: Let Problem #6: f(1) = S8 3 -8 0 <1 < * < 1< 2π and assume that when f(t) is extended to the negative t-axis in a periodic manner, the resulting function is even. Consider the following differential equation. d²x dt + 9x = f(1) Find a particular solution of the above differential equation of the form 00 Xp(t) = Σ An cost = Σ g(t,n) n=1 n=1 and enter the function g(t, n) into the answer box below. Enter your answer as a symbolic function of t,n, as in these examples

Problem #6: Let Problem #6: f(1) = S8 3 -8 0 <1 < * < 1< 2π and assume that when f(t) is extended to the negative t-axis in a periodic manner, the resulting function is even. Consider the following differential equation. d²x dt + 9x = f(1) Find a particular solution of the above differential equation of the form 00 Xp(t) = Σ An cost = Σ g(t,n) n=1 n=1 and enter the function g(t, n) into the answer box below. Enter your answer as a symbolic function of t,n, as in these examples

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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Problem #6: Let Problem #6: f(1) = 0 <1 < * -8 < 1< 2π 3 S8 and assume that when f(t) is extended to the negative t-axis in a periodic manner, the resulting function is even. Consider the following differential equation. d²x dt + 9x = f(1) Find a particular solution of the above differential equation of the form 00 Xp(t) = Σ Ancos" 1 = Σ 8,n) n=1 n=1 and enter the function g(t, n) into the answer box below. Enter your answer as a symbolic function of t,n, as in these examples
Transcribed Image Text:Problem #6: Let Problem #6: f(1) = 0 <1 < * -8 < 1< 2π 3 S8 and assume that when f(t) is extended to the negative t-axis in a periodic manner, the resulting function is even. Consider the following differential equation. d²x dt + 9x = f(1) Find a particular solution of the above differential equation of the form 00 Xp(t) = Σ Ancos" 1 = Σ 8,n) n=1 n=1 and enter the function g(t, n) into the answer box below. Enter your answer as a symbolic function of t,n, as in these examples
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