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)
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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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe73d31b-c2b2-4971-bb87-c0c1213285ee%2F67271946-0944-43db-97d3-9a60a04913fd%2Flb7zrwa_processed.jpeg&w=3840&q=75)
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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