t 1 (17) = { { + ¹ t 0 1 1 F(s)= = =+ = /201 5² = 1+t-e¹-2(t-e¹-¹)μ(t-1) = 1+t-e¹-2(t-et-¹)μ(t-1) =e¹-1-t+(-3e-1+2t+1)µ(t-1) =e¹-1+(-2e¹-¹+t+1)µ(t-1)
t 1 (17) = { { + ¹ t 0 1 1 F(s)= = =+ = /201 5² = 1+t-e¹-2(t-e¹-¹)μ(t-1) = 1+t-e¹-2(t-et-¹)μ(t-1) =e¹-1-t+(-3e-1+2t+1)µ(t-1) =e¹-1+(-2e¹-¹+t+1)µ(t-1)
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

Transcribed Image Text:Solve the equation y' - y=f(t), y(0) = 0
where f(t):
=
O
O
O
b.
a. y(t) = 1 +t-e¹-2(t-e¹-¹)µ(t-1)
y(t)=1+t-e¹-2(t-e¹-¹)µ(t-1)
y(t)=e¹-1-t + (−3e¹−¹ + 2t + 1)µ(t − 1)
y(t)=e¹-1 + (−2e¹−¹+t+1)µ(t − 1)
c.
-
d.
a
O
C
{}
t
P
t + 1
0<1<1 +-+-º
F(s)
t>1
"
S
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