| 0, N # 2 and Suppose that PN(0) = |1, N = 2 dPy(t) 2(N – 1)Px-1(t) – 2N Px(t). dt (a) Find the expressions for P(t), P2(t), P3(t), P4(t) (explicitly write down the process to show how you find the expressions).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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So, N # 2
Suppose that PN(0)
and
(1, N = 2
dPx(t)
2(N – 1)PN-1(t) – 2N PN(t).
dt
(a) Find the expressions for P1(t), P2(t), P3(t), P:(t) (explicitly write down the
process to show how you find the expressions).
(b) Find the expression for PN(t) for N > 4 and verify your results i.e. write
down the process how you find the expression.
Transcribed Image Text:So, N # 2 Suppose that PN(0) and (1, N = 2 dPx(t) 2(N – 1)PN-1(t) – 2N PN(t). dt (a) Find the expressions for P1(t), P2(t), P3(t), P:(t) (explicitly write down the process to show how you find the expressions). (b) Find the expression for PN(t) for N > 4 and verify your results i.e. write down the process how you find the expression.
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