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Consider the differential equation y' = 1 – y.

Consider the differential equation y' = 1 – y.

Advanced Engineering Mathematics
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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Consider the differential equation \( y' = 1 - y \).
Transcribed Image Text:Consider the differential equation \( y' = 1 - y \).
Which of the following functions are solutions to this equation? i. \( y(t) = 1 \) ii. \( y(t) = e^{-t} + 1 \) iii. \( y(t) = e^{t} + 1 \) iv. \( y(t) = \sin(t) \)
Transcribed Image Text:Which of the following functions are solutions to this equation? i. \( y(t) = 1 \) ii. \( y(t) = e^{-t} + 1 \) iii. \( y(t) = e^{t} + 1 \) iv. \( y(t) = \sin(t) \)
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