Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system.\\ $x' = \begin{bmatrix} 6 & 1 \\ -1 & 4 \end{bmatrix} x$\\ The eigenvalue(s) of the constant coefficient matrix is(are) \\ (Simplify your answer. Use a comma to separate answers as needed. Type each answer only once.)\\What is the general solution to the system?\\ x(t) = \\ Graph the direction field with several solution curves. Choose the correct graph below.\\ ? ?.\\ ? ?.\\ ? C.\\ ? D.
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Find the eigenvalues of the constant coefficient matrix: To find the eigenvalues, we need to find the characteristic equation of the matrix. The characteristic equation is given by: det(A - λI) = 0 where A is the constant coefficient matrix, λ is the eigenvalue, Show more…
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