Complex Frequency S, S* and S1, S1*?

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The discussion revolves around determining the complex frequency S from the function g(t) = [4e^(-2t) - e^(-t)]cos(4t - 95 degrees). The user initially struggles with the expression for v(t), which becomes complicated with four terms. They calculate the complex frequencies as s1 = -2 + j4, s2 = -2 - j4, s3 = -1 + j4, and s4 = -1 - j4, noting that this is not in standard form. Ultimately, the user resolves their confusion and finds a solution. The thread highlights the challenges of working with complex frequencies in differential equations.
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Complex Frequency S, S* and S1, S1*?

Homework Statement


Figure out what the complex frequency S is.
g(t)=[4e^(-2t)-e^(-t)]cos(4t-95degree)

Homework Equations


v(t)=K1e^(s1t)+K2e^(s2t)

The Attempt at a Solution


I got,
v(t)=K1e^s1 + K1e^s2 - K2e^s3 - K2e^s4
Which looks very messy.

Turns out it gives me,
s1=-2+j4, s2=-2-j4, s3=-1+j4 and s4=-1-j4
Which is not a standard form, and I have no idea how to handle four terms...

Much appreciate any inputs!:-p
 
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