7. Given that y, (x) = e2 is a solution of y"-4y +4y =0 Find a second solution y,(x) on the interval (0,00) using a) Long way of reduction of order
7. Given that y, (x) = e2 is a solution of y"-4y +4y =0 Find a second solution y,(x) on the interval (0,00) using a) Long way of reduction of order
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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Question
A) Find a second solution
on the interval
using the long method of reduction

Transcribed Image Text:7. Given that y, (x) = e²* is a solution of y" -4y +4y=0
Find a second solution y,(x) on the interval (0, ∞) using
a) Long way of reduction of order
eS P(x) dx
b) The reduction of order shortcut formula y2 = u yı = yı(x)
dx
yı (x)
c) Write the general solution.
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