# Solving Difference Equation and Differential Equation

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

o c=3ejÏ€/4+4eâˆ’jÏ€/2

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

o y[n] + 0.5y[n-1] = 2x[n-1]; x[n] = Î´[n], y[-1] = 0

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

o dy/dt + 2y(t) = 2x(t); x(t) = u(t), y(0) = âˆ’1

https://brainmass.com/math/complex-analysis/solving-difference-equation-and-differential-equation-583642

#### Solution Summary

The solution gives detailed steps on solving difference equation, solving differential equation and simplifying complex exponential in polar and rectangular form.

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