Please help with these complex math problems. Complex exponential, difference equation, and differential equation.

show all work for full credit. 1. Complex Exponentials: Simon.r the following expression and give your answer both in polar and roots ngular form. or o = Gem\" + aleTm\"2 2. Differenoe Equations: Solve the following difference eo uation using recursion by hand {for n20 to n=4] or 1Jr[n] + [Joann1] = 2x[n1]; xln] = [n], y[1] = l] 3. Differential Equations: Solve the following problem for t). or owot + 21m} = Exit]; xft] = Lift}, yfj = 1