Consider an equation of motion given by x+x(t) = e x(0) = 2. 8. Find the (total) response. (A) 1+e-2t (D) (t 1)e-t+36 (B) e-t+te-2 (Et+2)e-t (C) (t-1)e-t (F) 2t²+3t+1 9. Find the forced response. (A) te-t (D) +1-e-2 (B) 2-2e-t (E) 2e-t (C) (t 1)e+e-21 (F) 4te +e-21
Consider an equation of motion given by x+x(t) = e x(0) = 2. 8. Find the (total) response. (A) 1+e-2t (D) (t 1)e-t+36 (B) e-t+te-2 (Et+2)e-t (C) (t-1)e-t (F) 2t²+3t+1 9. Find the forced response. (A) te-t (D) +1-e-2 (B) 2-2e-t (E) 2e-t (C) (t 1)e+e-21 (F) 4te +e-21
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
please epelain this problem its labled as 2 different problem but its both for the given equation and they are closely related
![(A) 1+e-21
Response Types
Consider an equation of motion given by
x+x(t) = et
x(0) = 2.
8. Find the (total) response.
(D) (t 1)et+3e-2t
-
L [x+x] = [[et]
(5+1)8-
=
5+1
X =
(5+1 +2 ) 5+1
(B) et + te-2t
(E) (t + 2)e-t
(5+1) (5+1)
(C) (t - 1)e-t
(F) 2+2 +3t+1
X(+)=
tēt + 2 ét
9. Find the forced response.
(A) te-t
9.
Zen Z C
(D)t +1-e-2t
(B) 2-2e-t
☑
_
=
(E) 2e-t
(Sti)²
-
(C) (t 1)e+e-21
(F) 4te + e-2t
X(+)=
te-t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadcd2146-40e8-4924-8383-3d1cdc877b03%2F90df6ede-21aa-4b2c-9eb6-8c73e1995f50%2Fa9z0w2m_processed.png&w=3840&q=75)
Transcribed Image Text:(A) 1+e-21
Response Types
Consider an equation of motion given by
x+x(t) = et
x(0) = 2.
8. Find the (total) response.
(D) (t 1)et+3e-2t
-
L [x+x] = [[et]
(5+1)8-
=
5+1
X =
(5+1 +2 ) 5+1
(B) et + te-2t
(E) (t + 2)e-t
(5+1) (5+1)
(C) (t - 1)e-t
(F) 2+2 +3t+1
X(+)=
tēt + 2 ét
9. Find the forced response.
(A) te-t
9.
Zen Z C
(D)t +1-e-2t
(B) 2-2e-t
☑
_
=
(E) 2e-t
(Sti)²
-
(C) (t 1)e+e-21
(F) 4te + e-2t
X(+)=
te-t
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