ÿ' 7 = [-³ ÿ. 3 2] -5 -3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = v₁ = ● Find the real-valued solution to the initial value problem = [yi ly/₂ Use t as the independent variable in your answers. yı(t) = Y2 (t) = 3y1 + 2y2, -5y1 - 3y2, , and X2 y₁ (0) = 11, y2 (0) = -15. , V₂ =

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A: I have used eigenvalue and eigenvector method to solve the given system of ODE.

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A: To Find: the general solution of the system of equations. x'=7-55-3x

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A: Given that,  ut=2uxx,  0&lt;x&lt;6,  t≥0⋯⋯(1) BC: Ux(0,t)=0, ux6,t=0 IC: ux,0=2,  0&lt;x≤30,…

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A: Eigen value: Geometric multiplicity: Eigen vector:

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