Identify the matrix equation that corresponds to the system of first order differential equations representing 16x + 24r" 8x = 0. O ww a. o [¹ Ti 3 Y2 3 Y 3 = = 0 1 0 ₁ 0 01 Y2 1/2 0-3/2 Y3 01 0 y₁ 00 1 80-24 0 10 = 0 01 -24 0 8 0 = 0 01 1/2 Y3 Y₁ Y2 Y3 - 3/2 0 1/2 1/2

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A: We will convert the given system to a system of first order differential equations in matrix form.

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Q: Evaluate their Wronskian and determine if solutions you found are the fundamental set of solutions.…

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A: a) A=-1-28-1 The eigen values are given by, -1-λ-28-1-λ=0⇒(λ+1)2+16=0⇒(λ+1)=±4i⇒λ=-1±4i for λ1=-1+4i…

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Q: 7. Consider the invertible matrix It is given that A-1 = b11 b21 b12 b22 2 -- (EE) b31 b32 1 2 -1 --…

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Q: Consider the following system of nonhomogeneous first-order differential equations: (G :)** () ae X…

A: Particular solution of the system  X' = AX + b is: XP=Φ∫Φ−1b dt here Φ is fundamental matrix.

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Q: y "- 3y + 2y =0 0 1 O b. ***-(2,₂3). x-(2-1) --(-) 0 1 X' 3 2 21 +-(-3) X'= 0 a. O c. O d. x x

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Q: Consider the system of equations. Edit 1 1 3. 3 3. 1 1 1 X. 1 Find a fundamental matrix for the…

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Q: 10. Find the general solution of the system of differential equations d 3 -2 -2 -3 -2 -6 dt 10 2 2 1…

A: Given system of differential equation is ddtx=3-2-2-3-2-63610x+2te4t2-10+3t2e4t20-1+4t3e3t13-3…

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A: Given that the system of the differential equations i.e.                     Where To find the…