Question 3 (a) Determine whether the following statements are true or false and justify your response. ,a²y dy (i) y = Ce3x + C2e-3× is the general solution of- 6. + 9 = 0. dx2 dx (ii) Cx²e2x is the particular solution of dx2 d²y - 4y = 3e2x. Ур

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 3
(a) Determine whether the following statements are true or false and justify your
response.
d²y
(i)
y = Ce3x + Cze¬3x is the general solution of-
dy
6.
dx²
+ 9 = 0.
-
dx
(ii)
Yp = Cx?e2* is the particular solution of
dx²
d²y
4y = 3e2x.
Transcribed Image Text:Question 3 (a) Determine whether the following statements are true or false and justify your response. d²y (i) y = Ce3x + Cze¬3x is the general solution of- dy 6. dx² + 9 = 0. - dx (ii) Yp = Cx?e2* is the particular solution of dx² d²y 4y = 3e2x.
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