Verify that the expression: 1 C(t,T) = 1 e-b(T-t) 1 + ab -a(T-t) a(a – b) b(a – b) is the solution to the differential equation: 1 — е-а(Т-t) C:(t, T) + - bC(t, T) = 0
Verify that the expression: 1 C(t,T) = 1 e-b(T-t) 1 + ab -a(T-t) a(a – b) b(a – b) is the solution to the differential equation: 1 — е-а(Т-t) C:(t, T) + - bC(t, T) = 0
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Verify that the expression:
1
-a(T-t)
1
1
-6(T-t)
C(t,T) =
a(a – b)
b(a – b)*
ab
-
is the solution to the differential equation:
1 —е а(Т-t)
C:(t,T)+
- bC(t,T) = 0
-
a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1aa1a4f6-2b03-4e3d-9b2b-8b276c63db89%2Fca1d6277-a392-41d2-a7cc-066e706306eb%2Fcsbu8jr_processed.png&w=3840&q=75)
Transcribed Image Text:Verify that the expression:
1
-a(T-t)
1
1
-6(T-t)
C(t,T) =
a(a – b)
b(a – b)*
ab
-
is the solution to the differential equation:
1 —е а(Т-t)
C:(t,T)+
- bC(t,T) = 0
-
a
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