(t² — 100)y' + Y 1 - cost Y t² + 1' y(8)= -2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Differential Equations Question:

What is the largest open rectangle in the ty plane containing the point (t0,y0) in which the unique solution is guaranteed to exist?

(t² - 100)y' +
1
-
Y
cos t
Y
t² + 1²
y(8) =
-2
Transcribed Image Text:(t² - 100)y' + 1 - Y cos t Y t² + 1² y(8) = -2
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