How does (x-y+3)(x-y+1) = e^2x go to y=(x^2+4x+3-e^2x)/2(x+1) ??

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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How does (x-y+3)(x-y+1) = e^2x  go to y=(x^2+4x+3-e^2x)/2(x+1) ??

 

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Follow-up Question

Forgive me if i'm incorrect....but

x^2-yx+x-yx+y^2-y+3x-3y+3 =  (x^2+4x+3) -2yx +y^2 -4y

not (x^2+4x+3) -2yx + y^2 -3y

AND 

How does -2xy +y^2 -3y  FLIP TO y^2 - 3y + 2xy

 

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