Introduction HW

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  1. Complex Exponentials: Simply the following expression and give your answer both in polar and rectangular form. 
    • c = -3ejÏ€/4 + 4e−jÏ€/2
  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
  3. Differential Equations:  Solve the following problem for y(t).
    • dy/dt + 2y(t) = 2x(t); x(t) = u(t), y(0) = −1

 

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