u² x(t = sin du 2 vit) = [coeds. y COS x(t) and y(t) are functions defined by integrating up to a certain value of t, just like our definition of arc length, s(t). Now for the actual work you need to do: Verify that the curvature (t) = |t|.

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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u²
r(t) = [² sin 12/2
du
u²
COS du.
2
y(t) = f ² c
x(t) and y(t) are functions defined by integrating up to a certain value of t, just like our definition
of arc length, s(t). Now for the actual work you need to do: Verify that the curvature ê(t) = |t|.
Transcribed Image Text:u² r(t) = [² sin 12/2 du u² COS du. 2 y(t) = f ² c x(t) and y(t) are functions defined by integrating up to a certain value of t, just like our definition of arc length, s(t). Now for the actual work you need to do: Verify that the curvature ê(t) = |t|.
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