(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the frequency that gives the maximum amplitude response for the forced damped oscillator d[tex]^{2}[/tex]x/dt[tex]^{2}[/tex] + 6dx/dt + 45x = 50cos([tex]\omega[/tex]t)

2. Relevant equations

I'm really confused by this problem, but I know that the amplitude can be found by taking the [tex]\sqrt{c_{1}^2+c_{2}^2}[/tex] with c[tex]_{1}[/tex] and c[tex]_{2}[/tex] being parameters of the general solution...

3. The attempt at a solution

I suppose I want to maximize my c[tex]_{1}[/tex] and c[tex]_{2}[/tex] values. And this can be done by modifying the value of [tex]\omega[/tex]. So, my only guess as to how I could solve this problem is through manipulation of the Method of Undetermined Coefficients, and see for what values of [tex]\omega[/tex] my c[tex]_{1}[/tex] and c[tex]_{2}[/tex] become largest...

If anyone could offer me any suggestions involving different strategies for solving this problem, i would greatly appreciate it

the superscripts above some of my "c" parameters should be subscripts, i'm not sure why they keep getting turned into superscripts, sorry =(

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# Homework Help: Forced Damped Oscillator

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