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2026-03-16 19:44:16.1773690256

linearity of stochastic differential equations

17 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At 16 Mar 2026 - 7:44 2026-03-16 19:54:16.1773690856

If

$dX(t) = a_1(t)dt + b_1(t)dW(t)$

$dY(t) = a_2(t)dt + b_2(t)dW(t)$

Can we say that

$d(X(t)+Y(t)) = (a_1(t)+a_2(t))dt + (b_1(t)+b_2(t))dW(t)$ ?

stochastic-calculus
Original Q&A

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