Please help me with working out these problems. I would like to use these to check my work. Please show all work

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“ + ale—Tm”2 2. Differenoe Equations: Solve the following difference eo uation using recursion by hand {for n20 to n=4]or 1Jr[n] + [Joann—1] = 2x[n—1]; xln] = fi[n], y[—1] = l] 3. Differential Equations: Solve the following problem for fit).or owot + 21m} = Exit]; xft] = Lift}, yfflj = —1