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A: Let a,b,c and d be integers such as ad−bc=1. Let u and v be integers and define u'=au+bv and…

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Q: • Determine the elements of [i]/(1+2i). Note: (1 + 2i) is Į [i] is a Hint: It has an I deal .…

A: Determine the elements of ℤi1+2i Note: 1+2i is an ideal and ℤi is a Gaussian ring. Hint: It has 5…

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Q: Q2. Consider the ODE Using u = y ¹, we get A) u' - xu = sin x B) u + 2xu = - 2 sin x C) u + xu = sin…

A: The given differential equation is       y’ - xy = y2sin x    . . . . . . . . . . . . (1)    Now, we…

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A: let f:Rn→R fx=12xτAx                 ...i where A=3-10-121011 optimization problem  Maxx fx such…

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Q: Prove that x² = 13 (1²) + 1) = (xin(e))) ১0 sin(0)

A: Given  x=rsinθ cosϕy=rsinθsinϕz=rcosθ To prove :∇2=1r2∂∂rr2∂∂r+1r2sinθ∂∂θsinθ∂∂θ+1r2sin2ϕ∂2∂ϕ2

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A: Given equation is, dydx=12xy2-1xy-4x One solution is Y(x)=4.

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Q: Creular Decaululiom x/lyecn)= [3,5, 4), X= [1,2,1] Tad han)? 1 2. 2, + 3.

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