Solving Difference Equation and Differential Equation
1. Complex Exponentials: Simply the following expression and give your answer both in polar and rectangular form.
o c=3ejπ/4+4e−jπ/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] = δ[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) = −1
https://brainmass.com/math/complex-analysis/solving-difference-equation-and-differential-equation-583642
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Solution Summary
The solution gives detailed steps on solving difference equation, solving differential equation and simplifying complex exponential in polar and rectangular form.
Differential and difference equation
Please help with the following problem, providing step by step calculations in the solution.
Solve the differential equation subject to y(0)=2. An Euler approximation to y(x)=2. An Euler approximation to y(x) is given by setting h=x/h, solving the difference equation:
See attached file for equations and full problems.
With initial condition y0=2. The approximation is then y(x)=yn, and show that if n is large, this approximates y(x).
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