2) y" - 2xy' +y
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A: We use convergence test for series.
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A: Clear step by step explanation is given have a look into below given handwritten explanation
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A: As per our guidelines we are supposed to answer only one question (3 subparts)
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Q: Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ...+ 2" = 2"+1 – 1.
A: see the attachments below
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A: a ≡ b (mod n) ➞ n|(b-a) a ≡ b (mod n) ➞ b ≡ a (mod n)
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A: As per our guidelines we are supposed to answer only one question. So, here is the ques. no. 1
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A: Please find attachment for the details solution
Q: 1. Define Zero Divisor , Integral Domain. And one example of integral domain.
A: Zero divisors, Integral Domain
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Q: For what values of h are the given vectors linearly independent? -10 3 h Vectors are linearly depend...
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Power series solution D.E.
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