Solve the given differential equation by undetermined coefficients y’’-14y’+49y=42x+5 y(x)=?

Q: Consider the following functions. f (x) = e*, f,(x) = e^*, fg(x) = sinh(x) g(x) = c₁f₁(x) + C₂f₂(x)…

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A: In mathematics, a bearing is defined as an angle measured clockwise from north.

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A: The given differential equation is .We have to find the general solution to the differential…

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A: Given linear system of ODE's is following :In matrix form :  where, (1) Here eigenvalues of A…

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu Let f(x) =…

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Q: The set S is {F}} 2 -2 5 neither an orthogonal set nor an orthonormal set. an orthogonal set. a…

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Q: Consider the followinq system of linear equations in Z7. x+3y+2z=1. 2x+4z=3 3x+4y+2z=1 a. Write the…

A: (.)  Given system of linear equations in . ,                     (a).  we write the matrix equation…

Q: 4X₁ + X₂-X3 = -2 SX₁ + X2 + 2x3 = 4 Gx₁ + x₂ + x3 = 6 Хз

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Q: A = 1 -2 0 -3 -1 -2 Lo 0 1 3 4 3 4 0 -2 0

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Q: The following system of linear equations is inconsistent: x+y=z=7, x + 2y = 72 = -2, 2x + 3y - 8z =…

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Q: Find a basis for the kernel of the linear map T from R³ to R² given by: T((x, y, z)) = (x + y, z)

A: A linear map is given by .We have to find the basis for the kernel of the linear map.Note: Since…

Q: 3) Let (V, E) be the graph with vertices a, b, c, d, e, f, and g, and edges ab, ac, bc, bd, be, cd,…

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

Q: Write z in polar form and set up the relations that have to be satisfied for In z = ln |2|+i argzand…

A: We write z in polar form and set up the relations that have to be satisfied for Inz = In |z|+ i argz…

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Q: V1 Let R2 have the standard dot product. Classify the following pairs of vectors as (i) basis, (ii)…

A: Let  have the standard dot product.Classify the following pairs of vectors as(i) basis,(ii)…

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Q: Solve the given initial-value problem. y(x) = y" + 4y + 4y = (7 + x)e-2x, y(0) = 5, y'(0) = 8

A: We have to solve the given initial value problem.

Q: Nid A model for the average price of a pound of white sugar in a certain country from August 1993 to…

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Q: 17. If A,B and C are sets, then Ax (BnC) = (A x B) n(A x C).

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Q: b) Then define an inner product of the corresponding Hilbert space. Specify an interval of…

A: note :As per the instructions we will only solve part (b) of the question.As per the question we are…

Q: 3x + 4y + z = 10 2x - 3y + 5z +9=0 x+2y-z = 6

A: Given system of linear equationsAugmented matrix

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Q: -2 2 -3 3 Let A = 2 2 1 2 2 8 4 2 16 -2 -2 -2 -8 -2 -3 -1 -12 -1 -1 -1 -4 a) Find an orthogonal…

A: We  shall do the first part only, if you want us to solve the second part please upload the question…

Q: Solve the following Laplace equation. d²ud²u + 0<x<1, 0<y<1 ox² dy² B.C.: at x = 0 and x=1, u=0; at…

A: Here we can solve the given partial differential equation using the method of seperation of…

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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Q: s = f(t) = t³ - 12t² + 36t ds v(t) = 3²- - 24t+ 36 dt = The velocity after 2 s means the…

A: As per the guidelines I am answering first three parts only.We have

Q: Find a description of the following curve that uses arc length as a parameter. r(t) = (6 + 4t)i-3tj,…

A: curve is,

Q: Two poles are connected by a wire anchored to the ground somewhere bet them One pole is 10 feet tall…

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Q: Without simplifying the expression, use MATLAB to evaluate 5+6-3-√2 3 3.17 23

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Q: Let -8 -2 -9 +1- 6 4 4 0 4 True False A = Is it true that w is in Nul(A)? 8 and w= 1 H

A: Our objective is given below:

Q: 2.27 Use the method of characteristics to solve (y+u)ux + yuy = x-y, u(x, 1) = 1+x.

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Q: If f(x)=d(x)q(x)+r(x)and r(x) does not equal 0, given that the degree of d(x) is 2, what are the…

A: We know, the division algorithm for polynomials states that, if f(x) and d(x) are any two  with d(x)…

Q: (4) 2 What is the square of the (minimum) distance between W and P? Let W Span< = -2 be a plane in…

A: Given that

Q: The order of the Galois group G(K, F) is equal to  [K:F].

A: The given statement is true only when K is a finite Galois extension of F. Then the order of the…

Q: Let f(x, y) = . Use the Linear Approximation at an appropriate point (a, b) to estimate ƒ(6.03,…

A: We have to find .

Q: Solve for u, x, y, and z in the given matrix equation. 4x - 4 6 4 6 [4 4 1-1 U = X = y 11 Z =…

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Q: 4. Consider a temperature field where the temperature at point (x,y) is given by T(x, y) = 50-x-y².…

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Q: Suppose that f(x, y, z) = 4x + 3y + 4z at which 0 <z, y, z < 2. 1. Absolute minimum of f(x, y, z) is…

A: Suppose that  at which .1. Absolute minimum of  is _______.2. Absolute maximum of is _______.

Q: (BOC)=(A-B)u(A-C). 11. If A and B are sets in a universal set U, then AUB=AnB. 12. If A, B and C are…

A: To prove the equality A - (B ∩ C) = (A - B) ∪ (A - C), we need to show that each set is a subset of…

Q: L. Using the Midpoint Rule a. Estimate the integral with n=4 steps and find an upper bound for E The…

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