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(1) For each of the following first-order differential equations, state whether it is sep- arable, linear, homogeneous, or none of the above. You do not need to explain your answers. Each equation may correspond to more than one listed type (in which case you must list all types) or none of those. dy (a) = (x - 1)(y-1) dx (b) y' = 1 (c) dy dx = y X y√1-x²

(1) For each of the following first-order differential equations, state whether it is sep- arable, linear, homogeneous, or none of the above. You do not need to explain your answers. Each equation may correspond to more than one listed type (in which case you must list all types) or none of those. dy (a) = (x - 1)(y-1) dx (b) y' = 1 (c) dy dx = y X y√1-x²

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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(1) For each of the following first-order differential equations, state whether it is sep- arable, linear, homogeneous, or none of the above. You do not need to explain your answers. Each equation may correspond to more than one listed type (in which case you must list all types) or none of those. dy (a) = (x - 1)(y - 1) dx (b) y' = 1 dy (c) dx (d) x + 3y dy (e) x = dx y X y√1-x² xy' = 0 = x² - y²
Transcribed Image Text:(1) For each of the following first-order differential equations, state whether it is sep- arable, linear, homogeneous, or none of the above. You do not need to explain your answers. Each equation may correspond to more than one listed type (in which case you must list all types) or none of those. dy (a) = (x - 1)(y - 1) dx (b) y' = 1 dy (c) dx (d) x + 3y dy (e) x = dx y X y√1-x² xy' = 0 = x² - y²
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