Verify that the vector X is a solution of the given homogeneous system. -1 x-(-; X'= 1 -1 x - (-²) 0² For X = 1 -5t/4 e , one has 1 16 X; X = -1. X'= 1 16 X= -1 -5t/4 A 100

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Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

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A: All the parts are solved properly with detailed explanation.Hope you got your answer. If any query…

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A: a0 A = 7-143 , B = 5505 , P = 122-1Then p-1 = 1-1 -4 -1-2-21               = 1-5 -1-2-21…

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A: Given,           x'=2-13-2x+1-1et

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Q: y=1-x^2 y=x^2-1 Find the two solutions of the system when x0

A: Given: y=1-x2 and y=x2-1 To find the solution of the given system we have to equate both the…

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Q: Consider the linear system y' = Aỹ with (a) Find the general solution. 1 4 = (-5₁3) A -1

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Q: 3. Solve the system by using the matrix exponential -2 3 x' = [ X 5 -1 2 x (2) = (2] 4

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