1. Let S₁ and S2 be collections of sets. Prove the following a = SESIUS2 • (U₁) U(US) - U S (n³)n(n³)- n.8 > b SESIUS2 SESI =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Let S₁ and S₂ be collections of sets. Prove the following
• (U*)U(U³) - U.₂³
a
=
US
SES1US2
•
b
SES2
SESIUS2
(n*)n(n.³)~0.³
(U.s.)n(U.S.) - U (S. ns₂)
SIES1,S2S2
· (n s.)u(n ³₂) = n (S.US.₂).
S1 ES1, S2ES2
•
S
SESI
=
S
Transcribed Image Text:1. Let S₁ and S₂ be collections of sets. Prove the following • (U*)U(U³) - U.₂³ a = US SES1US2 • b SES2 SESIUS2 (n*)n(n.³)~0.³ (U.s.)n(U.S.) - U (S. ns₂) SIES1,S2S2 · (n s.)u(n ³₂) = n (S.US.₂). S1 ES1, S2ES2 • S SESI = S
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