Question: 1. Help me with this * 1 This is the first part of a three-part problem. Consider the system of differential equations yi = y1

1. Help me with this * 1 This is the first part of a three-part problem. Consider the system of differential equations yi = y1 - 2y2, y2 = y1 + 4y2. Rewrite the equations in vector form as y'(t) = Ay(t). y' ( t ) = y ( t )3. Help me with this * 1 Suppose y1 = t'y1 + 4y2 + sec(t), y2 = sin(t)y1 + ty2 - 5. This system of linear differential equations can be put in the form y' = P(t)y + g(t). Determine P(t) and g(t). P(t) = g(t) =2. [ Help me with this *1 Consider the system of differential equations a. Rewrite this system as a matrix equation 3; ' = A9. _2y2 1 +291 - - Compute the eigenvalues of the matrix A and enter them as a comma separated list. f

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