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Practice Problem *Consider an unknown homogenous equation with constant. coefficients, with a 20: a₁ y(s), azy (4¹) + azy"" + ayy" + asy' + aay=0 2 (a) Could y(t) = C₁ cost + ₂ sint + Ctcost + Cut sint be a general solution to this equation? Answer Yes or No, and explain your reasoning. (b) Could y(t) = G + C₂t + C₂ (St-2) + C4 et + Cset be the general solution to this equation? Answer Yes or No, and explain your reasoning.

Practice Problem *Consider an unknown homogenous equation with constant. coefficients, with a 20: a₁ y(s), azy (4¹) + azy"" + ayy" + asy' + aay=0 2 (a) Could y(t) = C₁ cost + ₂ sint + Ctcost + Cut sint be a general solution to this equation? Answer Yes or No, and explain your reasoning. (b) Could y(t) = G + C₂t + C₂ (St-2) + C4 et + Cset be the general solution to this equation? Answer Yes or No, and explain your reasoning.

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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Practice Problem *) Consider an unknown homogenous equation with constant coefficients, with a 20: ay(s), azy (4¹)+ azy!" + ayy" + asy' + αay ³0 2 (a) Could y(t) = C₁ cost + ₂ sint + Ctcost + Cut sint be a general solution to this equation? Answer Yes or No, and explain your reasoning. (b) Could y(t) = G₁ + C₂t + C₂ (St-2) + C4 et + Czet be the general solution to this equation? Answer Yes or No, and explain your reasoning.
Transcribed Image Text:Practice Problem *) Consider an unknown homogenous equation with constant coefficients, with a 20: ay(s), azy (4¹)+ azy!" + ayy" + asy' + αay ³0 2 (a) Could y(t) = C₁ cost + ₂ sint + Ctcost + Cut sint be a general solution to this equation? Answer Yes or No, and explain your reasoning. (b) Could y(t) = G₁ + C₂t + C₂ (St-2) + C4 et + Czet be the general solution to this equation? Answer Yes or No, and explain your reasoning.
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