7. Given that y,(x)= e²* is a solution of y"-4y+4y=0 Find a second solution y,(x) on the interval (0, 0) using a) Long way of reduction of order p(x) d b) The reduction of order shortcut formula y: = u yı yı(x) %3D yı (x)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer part A. Please show integration after u substitution
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.
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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