note: the two pictures are connected

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note: the two pictures are connected

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Find a formula involving integrals for a particular solution of the differential equation y"" - 30y" + 300y' - 1000y = g(t). A formula for the particular solution is: Y(t) = Choose one ▼ If g(t) = t 2e¹0t, determine y(t). Y(t) =

Find a formula involving integrals for a particular solution of the differential equation y"" – 30y" + 300y' — 1000y = g(t). A formula for the particular solution is: Y(t) = Choose one If g(t)= Y(t) = [ Choose one + g(s)e¹0(t-s) (st)² [²00 to *g(s)e¹0(s-t) (st)² ds 2 [*g(s) e 2 *g(s)elot-s(st)² ds 2 [~ g(s)et-10s (st) ds 2 g(s)e¹0(t-s) (st) 2 ds ds