[1 0 1/30 1 1/30 0 1/3Numerically verify that each initial state vector xo has the given steady-state vector x.0.5850.41500.425Let A =xo =x1 =Axo=A¹xo[0.42]0.250.330.090.240.67A³ xo==←介0.5750Ax₁ =A¹x₁A³x1==

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Answered: [1 0 1/3 0 1 1/3 0 0 1/3 Numerically…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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8:07 AM POG. + " 44.12 A 95 Solve the diffential equation y+e=0 |||| о n
6.7 Theorem 5.6 tells that we can form a stationary solution to the FPK equation in form of Equation (5.26) when the drift can be written as a gradient of a potential function. In case of a linear SDE dx = Fxdt + Ldß, what kinds of conditions does this imply for the matrix F ? Can you use this result to obtain a class of solutions to Equation (6.69)? 6.7 Ü Theorem 5.6 tells that we can form a stationary solution to the FPK equation in form of Equation (5.26) when the drift can be written as a gradient of a potential function. In case of a linear SDE dx = F x dt + L dß, what kinds of conditions does this imply for the matrix F? Can you use this result to obtain a class of solutions to Equation (6.69)?
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[1 0 1/3 0 1 1/3 0 0 1/3 Numerically verify that each initial state vector xo has the given steady-state vector x. 0.585 0.415 0 0.425 Let A = xo = x1 = Axo = A¹xo [0.42] 0.25 0.33 0.09 0.24 0.67 A³ xo = = ← 介 0.575 0 Ax₁ = A¹x₁ A³x1 = =