(x+1)y" -(x +2)y' + y=0;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Yi = x
(x +1)y" - (x +2)y' + y= 0;
5.
1-3.5 Linear Non - Homogeneous Equation with C
A general linear non – homogeneous constant coefficient equ
dn-1.
d"y
.
+...+aj
dy
+aoy = f(x)...
%3D
an
+an-1
dx"
dx"-1
dx
f(x) is a given function of x , and ao,a1,..., a,-1,a, also g
The general solution of (3.11) is given as:
General solution = Complimentary Function y(x) +
%3D
There are several different methods for finding solutions of n-
equations. Here we study three methods to find our Particular
complimentary is from the homogeneous nart
I)
Method
Transcribed Image Text:Yi = x (x +1)y" - (x +2)y' + y= 0; 5. 1-3.5 Linear Non - Homogeneous Equation with C A general linear non – homogeneous constant coefficient equ dn-1. d"y . +...+aj dy +aoy = f(x)... %3D an +an-1 dx" dx"-1 dx f(x) is a given function of x , and ao,a1,..., a,-1,a, also g The general solution of (3.11) is given as: General solution = Complimentary Function y(x) + %3D There are several different methods for finding solutions of n- equations. Here we study three methods to find our Particular complimentary is from the homogeneous nart I) Method
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