(i) The equivalence class [b] determined by b E B is a non-empty set. 1 (ii) If r and y are elements of B such that rRy, then [r] = [y]. (iii) The distinct equivalence classes of S form a partition of B. (iv) S is a partial order relation. (v) If z and y are elements of B such that r + y and rSy, then (y,1) ¢ S.

(i) The equivalence class [b] determined by b E B is a non-empty set. 1 (ii) If r and y are elements of B such that rRy, then [r] = [y]. (iii) The distinct equivalence classes of S form a partition of B. (iv) S is a partial order relation. (v) If z and y are elements of B such that r + y and rSy, then (y,1) ¢ S.

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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