In the context of physics, I obtained a stochastic PDE with Stratonovich convention: $$(a + \tilde A(t))\dfrac{d\vec x}{dt} = b\vec x + \tilde C(t)$$
Where the matrix $\tilde A$ and $\tilde C$ are white noise random processes with 0 average: $$\langle\tilde A(t)\tilde A(t') \rangle=\langle\tilde B(t)\tilde B(t') \rangle=\delta(t - t')$$ and $a$ and $b$ simple constant (hopefully :))! I'm a bit confused as how to proceed to solve this equation especially since dividing by $\tilde A$ does not feel right at all.