The task is to identify the solution of the given system of linear ODES (Ordinary Differential Equation) Solve using Method of Variation of Parameters. y₁ = 2y2 + 3 Y2Y₁Y₂t²

Q: Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the…

A: Given that, The boundary value problem, y"+x2y'-4xy=2x3+6x2-2,            1       y0=0, and y1=2. By…

Q: Compute the discriminant D(x, y) of the function. f(x, y) = x³ + y4 - 6x-2y² + 2 (Express numbers in…

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Q: Q2) compute the missing values of yn and Ayn in the following table: Yn Ayn Yn4² 16.18 T 1.77 T…

A: Given, Newton Forward Interpolation yn ∆yn ∆2yn y1 =10 ∆y1=y2-y1=2.4 ∆2y1=∆y2-∆y1=-0.39 y2=…

Q: 1 01 Lea A = -681 ;] find the decomposition PA=LU for the na solve the System AXÉ (111)] using the…

A: We can solve this using given information

Q: 18. How many milimeters are in the 87 oz coke can?

A: Solution

Q: dy Consider the differential equation da Create a slope field at the indicated points. 2 1 2 -1 -2…

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Q: Let E be a vector space of finite dimension n ≥ 1 and let f: E→ E be any linear map. The following…

A: Follow the steps.

Q: A₁ Let 2 + sinh (2²) - ₁₁ = 27 where w = f (x, y, z)- 1 पुर Find aw дх Jw and Iw > zw. ay dz 3/20

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Q: Answer the riddle below by solving the following measures of position. Write your interpretations on…

A: Given riddle "What can you break, even if you never pick it up or touch it?"

Q: 1 Consider the infinite series If we use the sequence of partial sums S to estimate value of the…

A: To find the series sum using partial sum :-

Q: Let (G,*) be a group of order p, q, where p, q are primes and p < q. Prove that (a). G has only one…

A: It is given that G, * is a group of order p·q where p, q are primes and p&lt;q. Show that G has only…

Q: The general solution to the equation y'' + 4y' + 3y = 0 has the form c₁eat + c₂ebt where a < b. a =…

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Q: Find the value of ³d(|x|³).

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Q: Use multiple application of the trapezoidal rule to numerically integrate : f(x) = = 400 x ² - 900…

A: It is a Numerical Analysis problem. Let us estimate the value of the integral numerically using…

Q: artian and hector both dive from a boat to the location shown in the diagram. Find the distance…

A: Martian and Hector both dive from a boat to the location. The distance between them is determined…

Q: 2 Let S be the positively oriented surface parametrized by R(u, v) = (u, v, u² – v²) where (u, v)…

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Q: 3. The label on a box of the grains gives the mass of the grains in two units of 789 grams and 45.3…

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Q: 1. Let n be a positive integer and le {1,...,n} such that n divides a, (ai+1-1) for i =

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Q: Consider the sequence {x} defined by n if n is even n+1 (1+ln(1/n²) if n is odd Is the sequence…

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Q: what is the dimension of the vector space formed by the solution of the system of the following…

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Q: 1. Prove that √√5 is irrational. 2. Prove that 3 + 2√5 is irrational. 3. Prove that the following…

A: 1)  Here , we need to prove that , 5 is irrational. For that , let us assume that , 5 is not…

Q: 7. The tennis player played using the shuttlecock between 14 and 18 inches and mass of between 9 and…

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Q: Determine the global extreme values of the f(x, y): = 12x − 3y if y ≥x-4, y ≥-x-4, y ≤ 7. (Use…

A: Note: To extremize a function of two variables over a closed bounded region, we should first find…

Q: If lim an = 12400 lim a2n+1 = L, then lim an = L 11-00 11-00

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Q: Suppose that Charles Barkley has $25000 to spend on the repair of a gravel driveway. He wants to…

A: Linear equations are first-order equations. In the coordinate system, linear equations are described…

Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

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Q: 4. ABP is a triangle, M is a point on AP. AB = à, AM = 26, and MP = b. N is the midpoint of BP. C is…

A: We have to use  triangle law of vector addition According to the law  if two sides of a triangle…

Q: Determine the minimum of f(x) = ( 10x³ + 3x² + x + 2 5) ² starting at x = 3 and using a step size A…

A: Given function  f(x)= 10x3+3x2+x+52 Starting at x=3 and step size h=5.0.

Q: (6.47) (T4)-(r-3.6)

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Q: Every bounded domain subset of D containing

A: Set theory

Q: 7. The tennis player played using the shuttlecock between 14 and 18 inches and mass of between 9 and…

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Q: 5. Let G be a group of order p'q, where p, q are prime numbers, and q # 1(modp), p² # 1(modq). Prove…

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Q: Advanced Math Question

A: Given that, 1 mm rainfall is required t cover a flat surface to a depth of 1 mm . Therefore, 1 mm…

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Q: The table below presents the real wage and nominal wage of non-agriculture workers in the…

A: The nominal ages are follows 537350340360400400320310395386315316365396311320280 arrange the data in…

Q: 7.22 (a) Prove that if {S,(x)} converges uniformly to S(x) on I then {S,(x)} converges point- wise…

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Q: acher plots the number of classes their students missed (r) with their scores on a test (y). The…

A: In this equation, the study of graphs is applied. Graph The graph of a function is the collection of…

Q: Let ABC be a triangle with circumcentre O. The po sides CA and AB, respectively. Let K, L and M be…

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Q: 9. A container of oil is 87 gal. How many liters of oil are in the container?

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Q: Which of the following regions have the same area? I. The region enclosed by the curve y = |x2 − 1|,…

A: Part (1):- Given curves are  y=x2-1,  the lines x =0 and x=2 and the x-axis. Area = ∫01 -x2-1dx +∫12…

Q: Convert the following degrees to radians. a) 30° b) 175° c) 150° d) 315⁰

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Q: Suppose you were given a system of equations and found the augmented matrix. Suppose that you put…

A: Introduction: A matrix is stated to be in echelon shape in linear algebra if it has the form of a…

Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

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Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to the indicated value. y' =…

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Q: b) Use the Ratio Test to determine if the series converges or diverges. n5" Σε (2n + 3)In (n + 1)…

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Q: The area of a 2.9 by 22 inch manila paper in cm^2

A: Area of a manila paper is 2.9x22 = 63.8 inches

Q: (a) Derive the frequency-domain convolution of a spectrum M(w) =rect () and a spectrum G(w) =…

A: As per the question we are given two frequently domain spectrum : M(ω) = rect(ω/B)  ,  G(ω) =…

Q: Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = √√x + 10. If we use the…

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Q: Solve for the given systems of linear equations. Solve for the unknown variables using all fou…

A: All the methods are too lengthy that's why I am answering with the first method only. Kindly repost…