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Solve the equation x" +4x' +5x = S(t− n) + S(t-2π) x(0)=0, x'(0) = 2 a. x(t)=-=sin(2t) b. x(t)=[1-e-2¹-2te-21] + μ(t− 2)(t - 2)e-2(t-2t) c. x(t)=2µ(t-1)-(-)sin(t-1) d. x(t)=[2-e²u(t - π) + e4u(t - 2π)]e-²¹sint e. x(t) = [1 + µ(t-1)]sin(2t)

Solve the equation x" +4x' +5x = S(t− n) + S(t-2π) x(0)=0, x'(0) = 2 a. x(t)=-=sin(2t) b. x(t)=[1-e-2¹-2te-21] + μ(t− 2)(t - 2)e-2(t-2t) c. x(t)=2µ(t-1)-(-)sin(t-1) d. x(t)=[2-e²u(t - π) + e4u(t - 2π)]e-²¹sint e. x(t) = [1 + µ(t-1)]sin(2t)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Solve the equation x" +4x' +5x = S(tn) + S(t-2n) x(0)=0, x'(0) = 2 a. x(t)=-=sin(2t) b. x(t)=[1-e-21-2te-²¹] + µ(t− 2)(t − 2)e −²(t− 2t) c. x(t)=2µ(t - T)e-(-)sin(t - π) d. x(t)=[2-e²u(t - π) + eu(t - 2π)]e-²¹ sint e. x(t)=-=[1+µ(t-1)]sin(2t)
Transcribed Image Text:Solve the equation x" +4x' +5x = S(tn) + S(t-2n) x(0)=0, x'(0) = 2 a. x(t)=-=sin(2t) b. x(t)=[1-e-21-2te-²¹] + µ(t− 2)(t − 2)e −²(t− 2t) c. x(t)=2µ(t - T)e-(-)sin(t - π) d. x(t)=[2-e²u(t - π) + eu(t - 2π)]e-²¹ sint e. x(t)=-=[1+µ(t-1)]sin(2t)
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