a) Compute the eigenvalues and eigenvectors of the system.

b) Compute the solution to the system of differential equations.

c) Use MATLAB to plot the direction field and eigenvectors of the system.

Solution: code

d) Use MATLAB to plot the phase portrait of the system.

Solution: code

d) Use your phase portrait to identify and classify any critical points.

Solution:

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Consider the system of digferantid equation: dtdx1=x1+3x2,dtdx2=4x+5x2 Withintial condiborns conditions as x1(0)=2&x2(0)=6