8. d²y dy Solve the Cauchy-Euler equation x²- +8x +6y=0. dx² dx

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A: We first evaluate the first few values of the sequence

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Q: Find the approximations Tn. Mn, and S, for n = 6 and 12. Then compute the corresponding errors ET,…

A: Thus, the integral value is 36.Let us assume..

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A: Given: The initial value problemSubjected to Also, as

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Q: @ © Find the particular solution for y² + 4y = 3 (Sc (²x) at 3 (SC(2x) at y(0)=1 & yo = -6

A: (.) Given equation is,           (.) Method of wronskian: For the solution of differential equation…

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Q: 92 Solve the PE Eup (Initial value 79₁ 1 O O 01 1 problem) its inco)

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Q: 40 -40 y²2√6400 – 4y²dy

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Q: 1. 2. n−1 4 nh+n-6 7n+1 n² +1

A: We shall divide and using the highest power of n and then find the limit

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Q: C) Prove that Z/5Z is a field.

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Q: Let f(x) := x² for x∊R, and let E := {x∊R : -1≤x≤0} and F := {x∊R : 0≤x≤1}. Show that E∩F = {0} and…

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Q: Suppose you want to have $500,000 for retirement in 35 years. Your account earns 7% interest. a) How…

A: Suppose you want to have $500,000 for retirement in 35 years. Your account earns 7% interest.a) How…

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A: (.) Given,

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Q: Objective Function Subject To Kmax.= y₁ + 2y2 Y₁ + y₂ ≤ 0.7 Y₁-Y2 ≥ Log2 0≤y₁ ≤1 0≤y₂ ≤1 y ≥0…

A: Objective function subjected to