6 by power Series method, Solve the following ODES: Σ m=0 amxm = a₂ + a₁x + a₂x² + a3x³ +....... •ý = y + x ▸ ans: y = a + ax + ( ½ A0+ ½ ) x ²³ - X X ao ê tê-x-1 = = -x-1 > C=A+1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 59E
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By
power Series method, Solve the following ODES &
▸
Σamx™ = a + a₁x + a₂x² + a3x³ + ·
772=0
Ў=y+x
= y + x
2
ans: y = a + ax + (1 A0 + ½ ) x² –
= a ê tê -X-1
X
X
=ce-x-1
, C=A+1
Transcribed Image Text:By power Series method, Solve the following ODES & ▸ Σamx™ = a + a₁x + a₂x² + a3x³ + · 772=0 Ў=y+x = y + x 2 ans: y = a + ax + (1 A0 + ½ ) x² – = a ê tê -X-1 X X =ce-x-1 , C=A+1
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