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So the position of a simple harmonic oscillator is given by Acos(wt+phi) or Ee^(-i(wt+phi)) where A and E are constants and w is omega. Can someone tell me how the shit you can raise the natural number to negetive i times wt+phi and end up with a completely real solution?
i havent taken math for several years, but from whats been posted, would you set your first natural number to i power to isinx+cos x and theyll either square or cancel
That actually makes sense. So the real and imaginary parts are handled as separate solutions... Much better than having a complex solution with real and imaginary parts.
Yeah, at my school its full name is Calculus 4: Elementary Differential Equations, and it's the highest level math most technical majors have to take. The next level splits into things like partial differential equations, real, complex, and numerical analysis, discrete math, and some others I can't remember.