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# the system of linear differential equations is of the form X = c1 X1 + c2 X2, where c1 and c2 are constants, and X1= e sin (a f U and e ,b sin (a f ?...

Consider the system of differential equations (the equations are in the picture) where x1 and x2 are functions of t. Our goal is to find the general solution of this system. b) Give an eigenvector associated to the largest eigenvalue.

c) The general solution of the system of linear differential equations is of the form X = c1 X1 + c2 X2, where c1 and c2 are
constants, and
X1=
e
sin (a
f
U
and
e
,b
sin (a
f
?
U
We assume that X1 is assoicated to the smallest eigenvalue and X2 to the largest eigenvalue. Use the scientific calculator notation
For instance, 3e
-At is written 3 * eA(-4*t).

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