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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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TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT
Transcribed Image Text:Giness TóR-R defined by T(x)
if it is
a linear transformation
A transformation T&R-DR
f
be linear
(i) T[u+V) = TLU) + TLV)
(11)
T (Cu)
ст(и)
e
we
have
T(x)=x+
TOR-DR is considered to
it satisfies two properkes
U, VER,
TLU+V)
T(0) + T(V) =
T(U) + T(U)
mence,
ut v tl
uti + v + l
x+1
U+v+2
cuti
TLU+V) & T(U) + T(U)
Determine
1
And
T(CU) = Cuth
C T(U) - C(2U+1)
¿ T(U)
T(CU) cut!
Mence, π(x)=x+1 is not a lineer transformation.
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