45 If y=1+ 2 a3x² a ₁ (x-a₁) a₁) (x − a₂) (x −a3) [.. X X a2x (x-a₁) (x − a₂) +... to (n+1) terms, s + X X

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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Ex. 45 If y = 1+
a3x²
(x-a₁) (x − a₂)(x-a3)
+
dy_y
=
dx
X
n
-
X
a ₁
(x-a₁)
x-a₁
X
a2x
(x-a₁)(x − a₂)
+... to (n+1) terms, show that
x-a₂
+
X
x - az
X
x-an
Transcribed Image Text:Ex. 45 If y = 1+ a3x² (x-a₁) (x − a₂)(x-a3) + dy_y = dx X n - X a ₁ (x-a₁) x-a₁ X a2x (x-a₁)(x − a₂) +... to (n+1) terms, show that x-a₂ + X x - az X x-an
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