A a,(x)y" +a-,(x)y"-|+...+a,(x)y'+a,(x)y=0 (x) y"-+ ...+a,(x)y'+a,(x)y=0 n-1 B a,(x)y" + a,+|(x)y"+'+... |(x) y" +1 +a,(x)y"-1+a,(x) y" =f (x) n+1 а, (х)у"+а, , (х)у"-1+...+а, (х)у'+а,(х)у%3Df (x) а (х)у" a„2)y" +a,+1(x)y"*1+. +a,(x)y" -'+a,(x)y" =0 · +a, (x) y" -'+a,(x)y" =0 ... n+1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following is the general form of a homogenous equation?

(А
A a,(x)y"+a„-1(x) y" -'+ ...+a,(x)y'+a,(x)y=0
:-1
(x) y"-+...+a, (x)y'+a,(x)y=0
B a,(x)y" +a+1(x)y"*+1+...
|(x) y"
+a, (x)y" -'+a,(x) y" =f (x)
4,(x)y" +a-,(x) y"-
|(x) y" -1
+...+a, (x)y'+a,(x)y=f(x)
n-1
a (x)y" +a4(x) y"+'+ ...+a, (x)y"
,(x) y"+1+...+a,(x)y"-+a,(x)y"=0
n+1
Transcribed Image Text:(А A a,(x)y"+a„-1(x) y" -'+ ...+a,(x)y'+a,(x)y=0 :-1 (x) y"-+...+a, (x)y'+a,(x)y=0 B a,(x)y" +a+1(x)y"*+1+... |(x) y" +a, (x)y" -'+a,(x) y" =f (x) 4,(x)y" +a-,(x) y"- |(x) y" -1 +...+a, (x)y'+a,(x)y=f(x) n-1 a (x)y" +a4(x) y"+'+ ...+a, (x)y" ,(x) y"+1+...+a,(x)y"-+a,(x)y"=0 n+1
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