Consider the following initial value problem x²(18y+6) 3y² + 2y + 1 The solution y satisfies the equation ay² + by=e+d -y' = 1, y(1) = 0.

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A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

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A: As per the guidelines we can answer the first question since u have posted multiple questions.

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A: We have the group of integers module 42 as G = Z42 We will find the no of subgroups of G.

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Q: Deteremine the area between the curves x= y^2+1, x=5, y=-3, y=3.

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Q: Question 3. Find the accumulation point of the following sets 1. [-1, 15) U (15, 20) 2. E= {(x, y) =…

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Q: Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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Q: Factor f(x) = x¹ - 2x³ = x² - 2x - 2 € Q[x] into two irreducible quadratic polynomials over Q. -…

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Q: (c) Using Green's theorem, evaluate the line integral of V(x, y) along the path C:.

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A: Introduction: In measure theory, a set A is said to be A-measurable if it belongs to the σ-algebra…

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A: We know,       (a1 * a2 * a3 * . . . . . . . * an) mod k            = (a1 mod k) * (a2 mod k) * (a3…

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Q: 1 What is the product when f(x) = 3x² + 2x - 4 is multiplied by g(x) = 4x² + 2 in Z₁ [x]? Enter your…

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Q: The Centurion apartment building in downtown Chicago has a total of 240 rental units. It offers its…

A: The Centurion apartment building in downtown Chicago has a total of 240 rental units. It offers its…

Q: y(t) is the solution of the differential equation When t = 0, y = 1. dy dt : 0.5/(t + y)². Use the…

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