Which of the following is the solution of the Differential Equation with initial values? y′′(t)+y(t)=uπ/2(t)+3δ(t−3π/2)−u2π(t), y(0)=0, y′(0)=0 (image 1) Select one: (image 2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following is the solution of the Differential Equation with initial values?
y′′(t)+y(t)=uπ/2(t)+3δ(t−3π/2)−u2π(t), y(0)=0, y′(0)=0 (image 1)
 
Select one: (image 2)
 
y" (t) + y(t) = u¬/2(t) +38(t – 37/2) – U (t), y(0) = 0, y'(0) = 0
%3D
%3D
Transcribed Image Text:y" (t) + y(t) = u¬/2(t) +38(t – 37/2) – U (t), y(0) = 0, y'(0) = 0 %3D %3D
a. y(t) = u/2(t) +sin(t)u,/2(t) +3sin(t)u3¬/2(t) – u2-(t) cos(t)
b. y(t) = u,(t) + sin(t – n)u,(t) +3 sin(t – 7/2)u/2(t) – uz-(t) sin(t – 27)
c. y(t) = u,/2(t) +cos(t – 1/2)u¬/2(t)+ 3 cos(t – 37/2)u3/2(t) – u2-(t) sin(t – 27)
d. y(t) = u/2(t) + cos(t)u„/2(t) +3 cos(t)u3=/2(t) – u2r(t) + u (t) sin(t)
Transcribed Image Text:a. y(t) = u/2(t) +sin(t)u,/2(t) +3sin(t)u3¬/2(t) – u2-(t) cos(t) b. y(t) = u,(t) + sin(t – n)u,(t) +3 sin(t – 7/2)u/2(t) – uz-(t) sin(t – 27) c. y(t) = u,/2(t) +cos(t – 1/2)u¬/2(t)+ 3 cos(t – 37/2)u3/2(t) – u2-(t) sin(t – 27) d. y(t) = u/2(t) + cos(t)u„/2(t) +3 cos(t)u3=/2(t) – u2r(t) + u (t) sin(t)
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