V st f(t) dt N[S(t) = 5 e² sluts St 7- 7-e @ G ( f ( t ) = ( ĕ f(wt)dt 0 -st N[s (t) = se s (u +) St 2 6 (③3 N [ & (+)] [ est s ( u +) dt 0 -t 80 Y[F(+)] e s(u) d t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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These are definitions of transformations used to solve differential equations. There is a relationship between them. Help me find it with examples and in an opposite manner. It means the relationship between the first and the second and the relationship between the second and the first. Thank you very much.
V
st
f(t) dt
N[S(t) = 5 e² sluts St
7-
7-e
@ G ( f ( t ) = ( ĕ f(wt)dt
0
-st
N[s (t) = se s (u +) St
2
6
(③3 N [ & (+)] [ est s ( u +) dt
0
-t
80
Y[F(+)] e s(u) d t
Transcribed Image Text:V st f(t) dt N[S(t) = 5 e² sluts St 7- 7-e @ G ( f ( t ) = ( ĕ f(wt)dt 0 -st N[s (t) = se s (u +) St 2 6 (③3 N [ & (+)] [ est s ( u +) dt 0 -t 80 Y[F(+)] e s(u) d t
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