Finding real-values fundamental set of solutions

Question

Questions:

1. Consider the system

       Y' = [ 1   1] Y      -∞              [-1   1]
a) Find real-values fundamental set of solutions of the general solution.

b) Identify its equilibrium solution; classify the type and stability characteristics of the equilibrium point.

2. Find the general solution of the 1^st order linear ODE

                       x' - x sin t = 2te^-cost