Solve the following DE using TWO different methods (do not solve using the substitution y = ux. Use any other two methods): 2x y dx + (3x² - 4y²) dy = 0, y(1) = 1

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A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

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Q: no need to solve. just write everything digitally. thank you. i will upvote

A: dy/dx - (2/x)y = x2 ex ; x = 1, y=0 p(x) = -2/x    Q(x)= x2 ex . standard form: dy/dx + p(x)y =…

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A: Here given transformation  T:ℝ2→ℝ2 Such that Te1=e1-4e2 and Te2=e2

Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t — 5)y' + (t− 6)y = 0…

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Q: Find the value of lim ((n + 1) cos (n + 1) cos¯¹ (1) − n) n

A: Given: limn→∞2πn+1cos-11n-n To find: The value of given limit.

Q: For all x > 1 we have Σσι(n) = η<α ζ(2)2 + O(xlog *). 2

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Q: Q1: solve the following system linear differential equations (by elimination) x + y + 2y = 0, xl-3x…

A: To find- Solve the following system linear differential equations (by elimination) x' + y' + 2y = 0,…

Q: What is the area between y = √x + 2 and y=-3x + 6 from x = 0 to x = 1? Select one: O a.-x² + 4 11 6…

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Q: Solve the initial value problem x'(t) = Ax(t) for t20, with x(0)=(3,2). Classify the nature of the…

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Q: please help ans write clear. thanks so muck please circle the answer 9. A₂ = DETAILS Use the…

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Q: Solve the initial value problem. 2x²-x dy dx O B. = -x-5 (x + 1)(y + 1)' Begin by separating the…

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Q: If $ is a semiring, then the following statements hold: n (i) If A = $ and A₁, A2,...,A₁ = $, then…

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Q: . Let f and g be two arithmetical functions. We have f(n) = [g(d) ⇒ g(n) = Σµ(d) ƒ (77). = d|n dn

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Q: Find a least squares solution of Ax=b by (a) constructing the normal equations for and (b) solving…

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Q: 14. Solve the differential equation dy t dt y y(0)=1 by the Euler method with h=0.1 to get y(0.2).…

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Q: Express the periodic loading shown using Fourier's series expansion. F(t) F(t)= (1) Oct 25 +++ 0…

A: Given Ft=F0sin3πTnt0&lt;t&lt;2Tn302Tn3&lt;t&lt;Tn

Q: Suppose that X = {x₁,x₂,.,x} is a subset Inner Product space. Which option is correct? a. b. C. d.…

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Q: If the Wronskian W of f and g is t2e²t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: For the linear mapping as follow T c- dim(KerT) =2 d-dim (KerT) =3 T: R² R³ X y Z x-2y x-3z x-4t…

A: We are given the linear mapping for which we need to find the dimension of kernel space and…

Q: 3. PDE r + a²t = 0, has the solution :

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Q: A vlogger receives a notification each day of how many views their vlog received that day. This…

A: Please see the attachment

Q: 10.Check whether 12" can end with the digit zero

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Q: For all x > 1 we have Σσι(n) = η<α ζ(2)2 + O(xlog *). 2

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Q: Solve the initial value problem. dy dt = 4t sin ²y, y(-1)= π The solution is (Type an implicit…

A: Introduction: A first-order differential equation is typically expressed as F(x, y, y') = 0, where x…

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A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: [1.35] Consider the following problem: Maximize 2x₁ subject to X1 4x1 X1, + 3x2 + X2 ≤ 2 + 6x2 ≤ 9…

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A: Introduction: We use the term "Rate" to describe the comparison and ratio of two separate…

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A: Here we take perimeter of play area is 100 and we have to maximize the area.

Q: 1. Certified Reference Material (CRM), GSS-5, is certified to contain 40.67 = 3.33 mg/kg of Ni in…

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Q: Determine whether the given function is a solution to the given differential equation. ²0 de at²…

A: Introduction: A differential equation in calculus is an equation that involves the dependent…

Q: 1. 3y(x²-1)dx + (x³ +8y-3x)dy = 0

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Q: calculate y" at x=1 given the following y(0)=5. system y"=5xy'+2xy+5x+1. y'(0)=2

A: If dydx=z, then d2ydx2=dxdz. This transformation gives us a system of differential equations:…

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Q: Let (G1, ) and (G2, *) be two groups and : G1 G2 be an isomorphism. Then * O G2 might be abelian…

A: Let G1 , ∘  and G2 , * be two groups. Consider , ϕ : G1 → G2  be an isomorphism. We know that , ϕ is…

Q: Solve the following system of algebraic equations using matrix inverse method. 1 1 2 2 11 -18-8

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Q: 7. Suppose 2 × 2 matrix A has an eigenvalue i with eigenvector V = [¹ 7 (a) (b) Find the general…

A: given eigen value and eigen vector for the 2x2 matrix A is  λ1=i, v→=1-ii

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Q: R is the region bounded by the functions f(x) = sin(x) + 1 and g(x) = (2x/π) + 1. Find the area of…

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Q: Use Richardson extrapolation to estimate the first derivative of Y = sin x at * = π/4 using step…

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Q: Consider the equation below: u’=u2 – (7/x)u + 8/x2; u=-y’/y Obtain the linear second order…

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Q: In the first term, Sam's courses and grades were as follows: Calculate Sam Grade Point Average…

A: Introduction: Credits attempted - This is the total number of credits you've attempted for the…

Q: з хутуг х2 +xy dy + ax = 0

A: To solve, dydx=-3xy+y2x2+xy⇒dydx=-xy3+yxxyxy+1⇒dydx=-3+yxxy+1        ___________(I)

Q: Suppose admission to a movie cost $7.50 in 2005. What was its price in 1979 dollars? Assume that all…

A: The answer is $2.79

Q: Show whether the two equations y₁ = using the Wronskian. 12e and y2 1.2e are independent or…

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