FIND THE GENERAL SOLUTION OF THE GIVEN SYSTEM : dx dt = 2х-у dy dt = X

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A: Given that fx,y=x-yx+y

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A: Given That :  Initial Value Problem  y'=y2+2ty3+t2 , y1=2 To Find : a) Use Euler method with h=0.1 ,…

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A: Trapezoidal rule is used to find the approximate value of a definite integral.  Consider a…

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Q: Modular Arithmetic (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS. NO LONG EXPLANATION…

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Q: Use Euler's Method to find approximate values of the solution of the given initial value problem at…

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Q: 6. If x ≥ 4, y ≥ 2, how many non-negative integer solutions are there to the equation x+y+z+w = 19 ?

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Q: P2 Consider the two power series f(x) = x + Σ n=0 g(x) = Σ n=2 (b) Show that f(x) satisfies the…

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Q: Prove that; It pis prime 0217. - 2 (류) (1) 8 1 ; PE+Imed B ; p= ± 3 mod

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Q: 1. (2Y²-6) (2Y+9) 2.xXx-Y) (x+1) 3.rx-pry+1

A: This is a question of counting and finite math.

Q: [4] Use Gaussian elimination with back substitution to solve the linear system of equations x2 + x3…

A: First use Gauss Elimination Method.

Q: Prove that if p and q are distinct odd primes, then we h

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Q: Given that 2 cos x, J1/2(x) = sin x, J-1/2(x) =. JT X express J3/2(x) and J_3/2(x) in closed form.…

A: Properties of Bessels functions

Q: Table 14 Climate Data for the Contiguous United States Year 1965 1975 1985 1995 2005 2015 Average…

A: The regression is performed to fit a dataset into a function of the form: y=f(x). The linear…

Q: Find a 3 x 3 matrix • The vectors V₁ = satisfying the following properties: • A has two eigenvalues:…

A: The given problem is to find the matrix A for which the given eigenvalues and corresponding…

Q: Determine a series solution to the initial-value problem 4y′′+xy′+4y =0, y(0)=1, y′(0)=0.…

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Q: Solve using Laplace transform "+2y+5y=sin(3r), y(0)=1, y'(0) = -1

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Q: Evaluate the line integral fre ds where C is the line segment from (2,0) to (5, 4)

A: Parametrization of a Line Segment:  Let P and Q be two points of the line, then the parametrization…

Q: Find the 2nd order linear differential equation whose fundamental set of solutions is {y₁(x) =…

A: y1x=cosbx, y2x=sinbx

Q: For each quadratic function and constraint a) Write the matrix associated with the quadratic form.…

A: Given: Quadratic functions z=4x12+4x1x2+x22-24x1-12x2-36, x1-32+x22=1To find: a) Associated matrix…

Q: Let f(t) = 00 n=1 2 6n³ + 3n¹3 -cos(nt).

A: Cost is infinitely differentiable function . Also 1/x is infinitely differentiable function .

Q: A function : [a, b] CR → R is called a step function if there is a partition C0 < x₁ << Xn = b of…

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Q: THE VECTOR X = (35 cost- sint) et IS A SOLUTION OF THE FOLLOWING HOMOGENEOUS LINEAR SYSTEM 1 dx dt…

A: To show that X is a solution of the given system of linear equation if X satisfied the system of…

Q: (Prove that A (B-A) = by stating all laws

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Q: The Current (year 2020) population of the Earth is 7.5 billion people, and the yearly birth and…

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Q: 5. f(x)=√x at x = [0, 4] where n = 4;

A: The given problem is to find the approximate value of the integral using the trapezoidal rule and…

Q: - Calculate the surface integral ff F. NdS, where F S r(u, v) = (uv, v, u) where 0 ≤ u ≤ 1,0 ≤ v ≤…

A: The given problem is to evaluate the given surface integral of given vector field over the surface S…

Q: A y = @ sin t. x.= @ cos t, 2 may as we , mod Auw zw sword Supomoso jo uogonba ay puny

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Q: Consider the inner-product (f; 9) := [_*¸ ƒ(x)g(x)dx. Consider the 'vectors' in this function space…

A: Using Grams schmidth Orthogonalization method we find orthonormal polynomial from a set of linearly…

Q: What is a bijection between R and Z x [0,1) and how do I prove it is indeed bijection? (R is all…

A: To solve this problem, you may think about two functions. Greatest integers function and fractional…

Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given: fx=ex2, x=0, 4, E=0.0002 To find: n To find: Approximate integral.

Q: Calculate the surface integral ff F. NdS, where F = (xy², y²z, -x²z) and S is the surface with…

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Q: Poof is 12 m above the ground, The edge of the roof is 4 m above the ground, roof pitch is 5" in…

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Q: Nicole started a new diet that requires each meal to have 340 calories, 6 grams of fiber, and 6 g of…

A: Food Fiberg Fatg Calories Toast 2 1 100 Cottage Cheese 0 5 120 Fruit 2 0 60

Q: EXERCISE 6 Find the general solution of the differential equation y" + 4y' + 4y = x²e-2x, x>0, y =…

A: We have to find the general solution of the given non-homogeneous linear differential equation with…

Q: solve remaining parts also please asap

A: We need to find truth value of given operation by using truth tables already given in previous…

Q: The recurrence relation for the Bessel function J₁(k) with the first coefficient C_1=1 leads to 1…

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Q: Is that dot between the n and d1d2...dk meaning multiplication?

A: It is not multiplication.

Q: 3. A form has 7 questions, each with 3 possible answers: AGREE (A), DISAGREE (D), or NO OPINION (N).…

A: As the form has 7 questions and as per the question, we need to fill the form with the same number…

Q: We have a geometric series where a1 =5 and a2 =10, find S10. Please don't answer in handwritten…

A: Given: We have a1 =5 and a2 =10 To find:              S10

Q: 5. Each of the following lists of vertices forms a path in the directed graph. Which paths are…

A: To identify which of the given paths are simple path or circuit

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A: Graphical transformation is used to move the graph of the original function to right/left/up/down or…

Q: if p. (144) =(-¹) ove tha pand gare distin (p-1)(g-1) 4 aci

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Q: 2.xxX-Y) (xX+1)

A: This is the problem of multiplying binomial. It has been done step by step. See the attached image

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Q: Q1- 1 = √² x² √a² — x² dx 0

A: I=∫0ax4a2-x2dx

Q: Find the volume of the solid that lies within the sphere x² + y² + z² = 16, above the xy plane, and…

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Q: If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given,…

A: Consider the right angled triangle with the given length of hypotenuse and another side as shown…

Q: The figure F, shown below, is a square-based pyramid with edges all of equal length. The location of…

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