Solve y" + 25y = 4t² with y(0) = 0, y'(0) = 0. the following is an expression of the solution as a convolution. Which of %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve y" + 25y = 4t² with y(0) = 0, y'(0) = 0. Which of
the following is an expression of the solution as a convolution.
%3D
2 sin (5t – 5 T)
4°
dt
А.
5
2 sin (5t – 5 T)
4
(7 – t)³ dr
В.
5
c. av2 sin (5 v
V2 sin (5 /2 (t – T)
4
С.
2 sin (5 t – 5 7) (t – 7)² dr
D.
5
4 t3 sin (5t – 5T)
Е.
dt
5
Transcribed Image Text:Solve y" + 25y = 4t² with y(0) = 0, y'(0) = 0. Which of the following is an expression of the solution as a convolution. %3D 2 sin (5t – 5 T) 4° dt А. 5 2 sin (5t – 5 T) 4 (7 – t)³ dr В. 5 c. av2 sin (5 v V2 sin (5 /2 (t – T) 4 С. 2 sin (5 t – 5 7) (t – 7)² dr D. 5 4 t3 sin (5t – 5T) Е. dt 5
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