(c) Consider the ordinary differential equation d²y dy dx² subject to -6 +9y=-2e³x dx y(0) = 1, y'(1)=2e³. Find the value of y(1) + y(-1), giving your answer in the form a sinh(b), where a and b are integers to be found.
(c) Consider the ordinary differential equation d²y dy dx² subject to -6 +9y=-2e³x dx y(0) = 1, y'(1)=2e³. Find the value of y(1) + y(-1), giving your answer in the form a sinh(b), where a and b are integers to be found.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 6CR
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Question
2c) Differential Equations: please correctly
![(c) Consider the ordinary differential equation
d²y dy
dx²
subject to
-6 +9y=-2e³x
dx
y(0) = 1,
y'(1)=2e³.
Find the value of y(1) + y(-1), giving your answer in the form a sinh(b), where a and b are integers
to be found.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cbe4a5d-d7b8-4970-a57a-4bc3c333fa99%2F6cc37339-1b2f-4b13-95e4-f3cb9bddbc08%2Fpw3t2sw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) Consider the ordinary differential equation
d²y dy
dx²
subject to
-6 +9y=-2e³x
dx
y(0) = 1,
y'(1)=2e³.
Find the value of y(1) + y(-1), giving your answer in the form a sinh(b), where a and b are integers
to be found.
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