y = 0.72 when t = 0. ind the sum to infinity of the series 1-3x+5x² - 7x³ + 8

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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(a) Using fourth order Runge Kutta method with one step  copute 
y(0.1) to five place of decimal if 

                  y'=0.31+0.25y+0.3t\power{2}

                  y=0.72   when t=0.

(b) Find the sum to infinity of the series 

            1-3x+5x\power{2}-7x\power{3}+....∞

where 0<|x|<1

(a) Using fourth order Runge Kutta method with one step copute
y(0.1) to five place of decimal if
y' = 0.31 +0.25y + 0.3t²
y =
= 0.72 when t = 0.
(b) Find the sum to infinity of the series
1-3x + 5x² - 7x³ + .... ∞
where 0 < x < 1
Transcribed Image Text:(a) Using fourth order Runge Kutta method with one step copute y(0.1) to five place of decimal if y' = 0.31 +0.25y + 0.3t² y = = 0.72 when t = 0. (b) Find the sum to infinity of the series 1-3x + 5x² - 7x³ + .... ∞ where 0 < x < 1
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