# Simple Harmonic Oscillator Equation Solutions

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

Sorry, I don't understand your post.

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

I meant to say I agree with you.