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Well I would like to know if we can change equation such that the relation between independent and dependent variable will be same but has some different form.

Let me explain it:

For eg. ψ(t)=-3-43cos(ω*t), is a periodic function. Now when you differentiate it with respect to time the constant term is lost.

I would like to know if we can somehow change equation such that the constant term is not lost in differentiation, and also the relationship between ψ and time is preserved.

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# Conversion of equation which preserves motion

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