Why the periodicity of solution for θ+γθ=0 implies γ=n∈N One solution for θ+γθ=0 is, for...

m4tx45w

m4tx45w

Answered

2022-01-27

Why the periodicity of solution for θ+γθ=0 implies γ=nN
One solution for θ+γθ=0
is, for γ>0
Θ(θ)=Acosγθ+Bsinγθ

Answer & Explanation

Tyrn7i

Tyrn7i

Expert

2022-01-28Added 11 answers

The minimal period of the solution is 2πγ. You want that 2π is also a period of the solution. Thus you need it to be an integer multiple of the minimal period,
2π=2πγn
This is directly equivalent to γ=n

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