O Problem 1 (Exercise 4.3.38) Sketch the phase portrait with the given eigenvalues and eigenvectors. Also say if the origin is a stable or unstable node. [-] 21=1, 12=-1,

Q: Consider the following initial-value problem. -1 -2 X'= ×·- (-² -² ) x + ( ³ ) × (0) - ( -5 ) X 3 4…

A: Given  system of differential equation is              x'=-1-234x+55  ,   x0=-67  compare this with…

Q: 4.F.1 Suppose the eigenvalues of a 3 × 3 matrix A are 2, 3/5, and 2/5 with corresponding eigenvec-…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find eigenvalues of characteristic equation 2 3 |-6 3.

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Q: Suppose a system of differential equations yields eigenvalue λ=1+3i with 2+i eigenvector = Find any…

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Q: 3. Compute all eigenvalues and eigenfunctions of x" + Bx = 0 given that x(2) = x(4) and x'(2) =…

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Q: A local target store bought 116 pizzas at Pizza Hut for its holiday party. Each guest ate 1/6 of a…

A: Let x be the number of pizzas bought by the store and y be the number of guests target have for the…

Q: Find a particular solution of (;) ;)-(: :) (;) - (*) -5 sint 4 -4t A

A: a = 4  Particular solution:     xpyp=t+cost1+4 sint

Q: =13 10 ] has an eigenvalue λ = -9. -4 The matrix A = Find an eigenvector for this eigenvalue. Note:…

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Q: The characteristic equation is. The eigenvalues are l if A= 1 |-2 |-2 4 a.λ-1,λ = 2,λ 3 O A = - 1,1=…

A: We can calculate eigenvalues By |A-λI|=0

Q: (3)= Cose +ising (9)

A: Eigenvector corresponding to an eigenvalue is NOT unique for a variety of reasons. Change the sign,…

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A: To find the eigenvalues and eigenfunctions for the differential equation:y'' - 2y' + (1 + lambda)y =…

Q: Question 8. Consider the initial value problem where x(t) = Ax (t), x(0) = 14 1 - (¹464). -16 The…

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Q: What are the eigenvalues of AT A?

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