[ 1. Solve x' = Ax + b, if A = 4 -3 and b = 2t 2 -1 -2 -18e3t 72e3t 2. Solve x' = Ax + b, if A = 2 4 -1 and b 3 54e3t 3. Find the general solution to the system d 2 х+ 4 [ 2e2t dt e3t

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Q: 3 51 Q2) If A = [, 1 and B = || show that -1 4. (A + B)² # A² + B² + 2AB

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

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A: We solve by using eigenvalues and eigenvectors.

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Q: Find general solutions of the systems in Problem Attached.

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Q: Solve for the value of unknowns using Gaussian Elimination Method 15a3 + 15a²b + 15ab² – 5ab + 5b³ +…

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A: Given system of linear equations is 8w+x+y+3z=-103-7w+12x-y-2z=734w-5x-15y+3z=356w+x-3y-12z=59 To…

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A: Advance maths   Differential equations

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A: A=-322-652-744∴A-λI=0⇒-3-λ22-65-λ2-744-λ=0⇒-λ3+6λ2-11λ+6=0⇒λ-1λ-2λ-3=0⇒λ=1,2,3 For λ=1…

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Q: If the solution is Solve the initial value problem y = co+c₁x + ₂x² + c₂x²³ + C₁Xx²+ + C5x³ + 6x6…

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Q: 2) Find the General Solution of the System of Equations. 1 0 X' =|2 1 - 2 X 3 2 1

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Q: Gaussian elimination

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A: This by using Gaussian elimination:

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Q: Find the general solution to the given system of equations. 1 ²2 ) x + ( ₁ x' 1 4 -2 e-2t -2et

A: The given system is:x'=114-2x+e-2t-2et