Parts D, E, and F. I added the photo that has the first parts completed. For the following systems, the origin is the equilibrium point.dxa) Write each system in matrix form = Ax.dtb)Determine the eigenvalues of A.c) State whether the origin is a stable or unstable equilibrium.d)State whether the origin is a node, saddle point, spiral point, or center.e) State the equations of the straight-line trajectories and tell whether they are goingtowards or away from the origin. If none exist, state so.f) If A has real eigenvalues, then determine the eigenvectors and use diagonalization tosolve the system. (See examples in Section 7.4)4.dxdtdydt= x + 4y= 4x + y dy4a) de= x+4y= 4x+yb) [1->< unstable4[*2] = [41] [4] A= [41](1-7) ²2²-2x-15=0(7-5) (x+3) =0equilibrium[5 andM

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Write each system in matrix form- = Ax. dx dt Determine the eigenvalues of A. State whether the origin is a stable or unstable e State whether the origin is a node, saddle point, s State the equations of the straight-line trajectorie owards or away from the origin. If none exist, st A has real eigenvalues, then determine the eige olve the system. (See examples in Section 7.4) x = x + 4y It y It = 4x + y