# Simple Harmonic Oscillator Equation Solutions

logan3
These are practice problems, not homework. Just wanting to check to see if my process and solutions are correct.

1. Given the following functions as solutions to a harmonic oscillator equation, find the frequency f correct to two significant figures:

f(x) = e-3it
f(x) = e-$\frac{\pi}{2}$it

2. Harmonic oscillator equation:
$\frac{d^{2}y}{dt^{2}} = -ω^{2}y$

frequency (f) = $\frac{ω}{2\pi}$

3. Since a solution to the harmonic oscillator equation can be in the form of e-iωt, then ω = 3 in the first solution and $\frac{\pi}{2}$ in the second. Plugging both of these into the frequency equations yields:

f = $\frac{3}{2\pi} = 0.48$ and

f = $\frac{\frac{\pi}{2}}{2\pi} = 0.25$

Thank-you.

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Homework Helper
Gold Member
OK. Oh, I need a minimum of 4 characters/
Ok Ok.

logan3
Sorry, I don't understand your post.

Homework Helper
Gold Member
Sorry, I don't understand your post.

I meant to say I agree with you.