Find the resolvent kernel and Solut of ya) = I+5(1-3x+).y(t).d by Alternative procedure

Q: The linearization at a = 0 to v8 + 5x is A+ Bx. Compute A and B. A = B = ||

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Q: The linearization a at a = 0 to √8+7x is A + Br. Compute A and B. A B=

A: To Find: Linearization for fx=8+7x at a=0

Q: Q1. Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y+ z+ w= 6…

A: use cramer's rule to solve for y withoutsolving for the unknowns x,z and…

Q: Define: T:P, → R by T(P) = [ p(x)dx. What is the kernel of T ?

A: Given that: T:P2→RTp=∫01px dx

Q: 2. Verify using the principle of Superposition that y₁ = ²* and y₂ = e* are solutions of y" - 7y'…

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Q: Y=√x, but is shifted to the right 1unit y =

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Q: Consider model y = B1+ B2 x2 + B3x3 + B4x4 + B5x5 + e Proof that SST=SSR+SSE for this model

A: SST is the sum of squared difference between the observed variable and its mean. It is called sum of…

Q: Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y+ z + w= 6 .…

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Q: The Poisson kernel Pr (0 – p) on the unit disk is given by 1-r2 1–2r cos(0-4)+r² O Enez r" sin (n (0…

A: Let f(z) be analytic inside the unit disk. then if

Q: The linearization at a = 0 to /3 + 9x is A + Bx. Compute A and B. A = B =

A: Given: f(x)=3+9x

Q: Find the dimensions of the minimum-cost open-top rectangular tainer. (Let v* = 10 m³.) con-

A: Given. We need to find the dimension of a topless cuboidal container. Whose volume is 10m³ And…

Q: Solve the matnx Xf AX(D+Bx)-CAssume that all matnces are nxn and nvertible as needed.

A: To solve for X

Q: 5. What is UF, where F = Ø? Prove the correctness of your %3D | computation. answer

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Q: Compute the Wronskian of the following equation. y" – 4y' + 4y = xe2x %3D

A: Given: y''-4y'+4y = xe2x

Q: Solve the following DE Using Method of Undetermined coefficients; applying both (a) Superposition…

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Q: nd the orthogonal trajectories of the family of confocal central conics given as: = 1 a² + à b² + à

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Q: %3D S.

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Q: Q1) Use a suitable Linearization to find the best fit of the form f(x) = Cx3 + for the %3D data:…

A: Given the data,                 (1, -1), (2, 7), (3, 26.3)

Q: Save the following Sef of Lincay equations using over relaxoation 10X, +X2 + X3 12 X, + 10X2 + X3 =…

A: Rewrite the given system of equations, to find x1, x2 and x3. Multiply each right hand side…

Q: The linearization at a = 0 to v4 + 4x is A + Bx. Compute A and B. A = B = %3D II

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Q: I. Solve the problem by using Jordan canonical form Exercise 3.2.18 Use Cramer's rule to find the…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Show that the functions e*, cos x, and sin x are linearly independent using the Wronskian.

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Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: (ii) Verify Cauchy-Goursat theorem for f(z) = 5 sin 2z if C is the square with vertices at 1土も-1土。

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Q: 3) Find the mZT= %3D

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Q: Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y + z+ w= 6 3x…

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Q: Soluti 03 16. A 11 22 1 Let Ax- b be a linear svstem of n eauations in n unknowns, and assume that A

A: Given: A = 03-2114225, b = 75-2  and Ax = b To find: The value of matrix x.

Q: Solve the followig 13. BauSsian or Eduss Jordan Using E lemination. 5x, +6x=7X 3D0 3. ース×,+ 3X7…

A: Answer

Q: Let A ∈ M nxn(F). Show that A is diagonalizable if and only if At isdiagonalizable

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Q: Find the bounded อน əx solution of อน 2 + U if U(x, 0) = 6e-3x. at

A: We have ∂u∂x=2∂u∂t+u  The initial condition is ux,0=6e-3x Now, ∂u∂x=2∂u∂t+u can be written as…

Q: Consider the following semilinear first-order PDE ди ди + Y = xe¯u ду (i) Find the general solution…

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Q: Please find all automorphisms. Thanks.

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Q: LZHP - DTNV. Complete the statement below. ZZ = _2_

A: Consider the following condition: LZHP~DTNV Hence, ∠L≅∠D∠Z≅∠T∠H≅∠N∠P≅∠V

Q: Solve the following DE Using Method of Undetermined coefficients; applying both (a) Superposition…

A: As per our guidelines,  we are supposed to answer only 1st question at a time, kindly repost second…

Q: Is ZXZ cyclic? [Here Z means (Z, +).]

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Q: Q1. Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y+ z+ w= 6…

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Q: Consider the first order linear PDE и, (х, у) + 2и,(х, у) + u(х, у) %3 4х. Find its general solution

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Q: Qsit Prove that the Centre of a gp îs noymal. of

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Q: m = 3, modified Daniell Kerneli a 12 Find C(3,3)

A: We are given a 8×1 array of data as : a = {1/12 , 1/6 , 1/6 , 1/6 , 1/6 , 1/6 , 1/6 , 1/12} And we…

Q: Find the of the GS that satisfies the given Cond hb Sum a n=4 b. h=6

A: Sum of Geometric series.

Q: Show that,in LU decomposition, the number of operations required to find U is 2 1 1 for a n x…

A: Consider the process of Gaussian elimination applied to the n×n matrix, A=a11…a1n⋮⋱⋮an1…ann be n×n…

Q: Apply the superposition principle to find a particular solution u = u(t, x) of the following PDE:…

A: As per the question we are given a non-homogeneous linear partial differential equation. And we have…

Q: QV A/ Find at (t-) as a funetion of t, if (x = t).(y= vE)

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Q: 2. In OABCD, ZA = x, ZB = 2x +60. ZD = Draw a sketch to help you.

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Q: b. verify your answer with Gauss Elimination Method.

A: Given system of linear equation is x-2y+z=2bx+ay=3-2y+z=-4 in the matrix form we can write it as…

Q: 4-) Find the genesal soludion of y'+5y°=5

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Q: Transcribe the hamiltonian onto the Heisenberg square 为 B 2a

A: Given Hamiltonian  H^=α3ββ2α Trace of the matrix=Eigen values…

Q: Show a complete soluton 2 3 CO-10y 10sin x

A: Given: