(Gradable). Solve the following homogeneous and inhomogeneous systems (all of the eigenvalues and eigenvectors should be...

 

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(Gradable). Solve the following homogeneous and inhomogeneous systems (all of the eigenvalues and eigenvectors should be 'nice'). (a) i = ( 2 −2²) ² y. (b) y = (c) y = y. 2), (32) y + (( sin (31) -3 4 1 cos(4t) e (d) v = (-₂ i) v + (2¹ sin(t)) - i -2 e2tt (Gradable). Solve the following homogeneous and inhomogeneous systems (all of the eigenvalues and eigenvectors should be 'nice'). (a) i = ( 2 −2²) ² y. (b) y = (c) y = y. 2), (32) y + (( sin (31) -3 4 1 cos(4t) e (d) v = (-₂ i) v + (2¹ sin(t)) - i -2 e2tt