THEOREM OF THE GENERAL SOLUTION. Let x1(t),…,xn(t) be n linearly independent solutions of the system X´=A(t)X. The general solution of the system is: x(t)=c1x1(t)+⋯+cnxn(t) Where c1 ,…,cn are arbitrary constants that will satisfy the initial condition of the problem if necessary.

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A: See the details solution below

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A: The given differential equation is y'''-3y''+5y'+10y=0 We have to write the given differential…

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Q: equilibrium

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A: solution of the given problem is below...

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A: A=-2101 (A-xI)  is, -2101-x1001 =-2-x101-x take determinant=0 -2-x1-x-1· 0=0 -2-x1-x=0 x=1,…