Question 1 If n denotes the order of the ODE, how many fundamental solutions are there? (A) 1 B 2 C n-1 n Question 2 If the characteristic equation has a real-valued triple root r, the fundamental solutions include A exp(r*x) B exp(r*x) and x*exp(r*x) exp(r*x) and x*exp(r*x) and x^2*exp(r*x) exp(r*x) and x*exp(r*x) and x^2*exp(r*x) and x^3*exp(r*x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 8E
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Question 1
If n denotes the order of the ODE, how many fundamental solutions are there?
(A) 1
B) 2
C) n-1
(D) n
Question 2
If the characteristic equation has a real-valued triple root r, the fundamental solutions include
A exp(r*x)
(B) exp(r*x) and x*exp(r*x)
exp(r*x) and x*exp(r*x) and x^2*exp(r*x)
exp(r*x) and x*exp(r*x) and x^2*exp(r*x) and x^3*exp(r*x)
Transcribed Image Text:Question 1 If n denotes the order of the ODE, how many fundamental solutions are there? (A) 1 B) 2 C) n-1 (D) n Question 2 If the characteristic equation has a real-valued triple root r, the fundamental solutions include A exp(r*x) (B) exp(r*x) and x*exp(r*x) exp(r*x) and x*exp(r*x) and x^2*exp(r*x) exp(r*x) and x*exp(r*x) and x^2*exp(r*x) and x^3*exp(r*x)
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