# Question: using matlab download and review the supplemental questions work the...

###### Question details

Using **MATLAB.**

Download and review the supplemental questions.

Work the following problems 1, 2, and 3 below and submit your answers.

Submit homework solutions via Assignment Upload Tool. Show all work for full credit.

Complex Exponentials: Simply the following expression and give your answer both in polar and rectangular form.

c = -3e^{j}^{π}^{/4} +
4e^{−}^{j}^{π}^{/2}

Difference Equations: Solve the following difference equation using recursion by hand (for n=0 to n=4)

y[n] + 0.5y[n-1] = 2x[n-1]; x[n] = δ[n], y[-1] = 0

Differential Equations: Solve the following problem for y(t).

dy/dt + 2y(t) = 2x(t); x(t) = u(t), y(0) = −1