Consider the system of differential equations In = 17/3x1 + -10/312 In = 10/3x1 + 1/312 Our goal is first to find the general solution of this system and then a particular solution. In all your answers below, use the scientific calculator notation. For instance 3 + 52 is written 3 + 5*i and Ste-3t is written 5*t*en(-3*t).c) The general solution of the system of differential equations is of the form X =q1 X1+ c2 X2 , where cj and co are constants, and X] and X2 are the real and imaginary parts of a complex solution. [X1 X2] = ab sin (a) [X1 X2] denotes a matrix with columns X] and X2 respectively. d) Find the solution if the initial condition is (21 ) - att = 0. Answer: X(t) = ($1 (t) ) 12 (t) ab sin (a) ? Use the scientific calculator notation to define the components x] (t) and :2 (t). For instance Ste - is written 5*t*en(-3*t)