I only need C part

PACCbIKH PELLEH3NPOBAHNE BNA 1 . 1 . 1 . 2 . 1 . 3 . 1 . 4 . 1 . 5 . 1 . 6 . 1 . 7 . 1 . 8 . 1 . 9 . 1 . 10 . 1 . 11 . 1 . 12 . 1 . 13 . 1 14 1 15 1 17 1 18 7. Consider the system of paired differential equations i = 3x + 2y y = 2x + 3y. This represents the populations of two species of symbiotic toadstools in a large wood. Time t is measured in decades. a. Use the eigenvalue method to find the general solution to this system [10 marks] of equations.1 . 1 . 1 . 2 . 1 . 3 . 1 . 4 . 1 . 5 . 1 . 6 . 1 . 7 . 1 . 8 . 1 . 9 . 1 . 10 . 1 . 11 . 1 . 12 . 1 . 13 . 1 14 . 1 15 14 17 18 b. Given the initial conditions that whent = 0, x = 150, y = 50, find the [3 marks] particular solution. c. Hence find the solution when t = 1. [1 mark]