Question: Consider the 22 first order linear differential system x'=Ax, where A=[1331].Part 1: Checking for Solutions(a) Which of the following functions are solutions of the differential
Consider the 22 first order linear differential system x'=Ax, where A=[1331].Part 1: Checking for Solutions(a) Which of the following functions are solutions of the differential equation above?A.[-11]e-2tB.[-10]e4tC.[-11]e4tD.[01]e-2tE.[11]e4tF.[11]e-2tG. None of the AboveNote: Select all that applies.Part 2: Fundamental Solutions(b) Use the solution in part (a) and properties of linear operators to determine which of these pair of functions form a fundamental set of solutions of the differential equation above.A.[22]e4t and [3-3]e-2tB.[11]e4t and [-11]e-2tC.[11]e4t and [33]e-2tD.[10]e4t and [01]e-2tE.[10]e4 and [01]e-2F. None of the AboveNote: Select all that applies.
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