Find the particular solution of the following system for the initial conditions x1(0) = 0, x2(0) = 0 and x3(0) = 17 and select the correct choices for each of the component functions from below. (Hint: One of the eigenvalues is 3.) x1' = 3x1 + X3. x2' = 9x1 x2 + 2x3. Xgl = '9)(1 + 4X2 X3. ml (t) = 433* + 8" [~41 (:03 t + sin t] m (t) = 983* + e\" [9 cost b 23in t] 331 (t) = 333* + '3'3 [8 cost + 23in t] {:2 (t) = 3.23* + 34 [~8 (:08 t _ sin t] :63 (t) = 158'g aint {1:3 (t) = 173\" cos t 332 (t) = 46:\" + e\" [4 (:08 t + 2 sin t] 331 (t) = 433* + eg [~ cos i + 9 sin t] 2:3 (t) = 1712\" [cost Saint]