The differential equation satisfying the relation x = Acos(mt-a) is?
- d²x/dt² = - m²x
- d²x/dt² = + m²x
- d²x/dt² = ± m²x
- None of these
Explanation
x = A cos(mt - a) is a wave/oscillation.
If you differentiate it twice, you get the same x back but with a minus sign and m² in front.
So the equation becomes: d²x/dt² = -m²x
Clear rule: Cos or Sin → 2nd derivative = -ω² × function
Last verified on 04-06-2026
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