. Show that 1, x, x² are three particular integrals of x (x2 - 1) yı +

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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Show that 1, x, x2? are three particular integrals of x (x2 – 1) yı + x2 - (x2 - 1)y- y? = 0, and hence obtain the
general solution y (x + k) = x + kx2, k being an arbitrary constant.
Transcribed Image Text:Show that 1, x, x2? are three particular integrals of x (x2 – 1) yı + x2 - (x2 - 1)y- y? = 0, and hence obtain the general solution y (x + k) = x + kx2, k being an arbitrary constant.
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