What would be the stochastic differential equation to obtain this equation $y(t) = \sum_{i = 1}^n A_i \sin(\omega_i t+\phi)$, where $A_i$, $\omega_i$ and $\phi_i$ are random variables and $t$ is time. Would it have a form similar to this $y''+ay'+by =f(t)$?
2026-03-26 14:18:47.1774534727
Stochastic differential equation for random gaussian vibration
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