Mathematics, 28.06.2019 08:50 lilypup004
To understand how the two standard ways to write the general solution to a harmonic oscillator are related. there are two common forms for the general solution for the position of a harmonic oscillator as a function of time t: x(t)=acos(ωt+ϕ) and x(t)=ccos(ωt)+ssin(ωt). either of these equations is a general solution of a second-order differential equation (f⃗ =ma⃗ ); hence both must have at least two--arbitrary constants--parameters that can be adjusted to fit the solution to the particular motion at hand. (some texts refer to these arbitrary constants as boundary values.)
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To understand how the two standard ways to write the general solution to a harmonic oscillator are r...
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