15. (y – x)y = y – x + 8; y = x + 4/x + 2 Answer + domain of function is [–2, ) largest interval of definition for solution is (-2, 00) 16. y = 25 + y²; y = 5 tan 5x 17. y = 2æy? ; y = 1/(4 – x²) Answer + domain of function is the set of real numbers except x = 2 and x = -2 largest intervals of definition for solution are (-∞, –2), (–2,2), or (2, ∞)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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How did they find the domain? 

15. (y – x)y = y – x + 8; y = x + 4/x + 2
Answer +
domain of function is [–2, )
largest interval of definition for solution is (-2, 00)
16. y = 25 + y²; y = 5 tan 5x
17. y = 2æy? ; y = 1/(4 – x²)
Answer +
domain of function is the set of real numbers except x = 2 and x = -2
largest intervals of definition for solution are (-∞, –2), (–2,2), or (2, ∞)
Transcribed Image Text:15. (y – x)y = y – x + 8; y = x + 4/x + 2 Answer + domain of function is [–2, ) largest interval of definition for solution is (-2, 00) 16. y = 25 + y²; y = 5 tan 5x 17. y = 2æy? ; y = 1/(4 – x²) Answer + domain of function is the set of real numbers except x = 2 and x = -2 largest intervals of definition for solution are (-∞, –2), (–2,2), or (2, ∞)
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