Advanced Math Question
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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Expert Solution
Step 1
Here, x=-2y2+2y-3
Step 2
a)Rewrite the equation:
x=-2(y2-y)-3
Add and subtract ½ in the parenthesis.
Step 3
b)Comparing with x=a(x-k)2+h
a=-2
k=1/2
h=-5/2
The vertex (h,k) will be (-5/2, ½)
The focus is at (h+1/4a,k)
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