Consider the following initial value problem: y+y' - 12y = 0, y (0) = 1, y'...

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Consider the following initial value problem: y"+y' - 12y = 0, y (0) = 1, y' (0)=y0' First find the general solution of the given differential equation and then determine the value of y O' such that limt → + ∞ [y(t) ] = 0. Assuming that > 2>A 1, fill in the blanks with the correct numbers for the values of λ 1, A2, and y 0 The general solution of the given differential equation is where X 1 = and A 2 = For limt → +∞ [y (t)] = 0, yo'= Consider the following initial value problem: y"+y' - 12y = 0, y (0) = 1, y' (0)=y0' First find the general solution of the given differential equation and then determine the value of y O' such that limt → + ∞ [y(t) ] = 0. Assuming that > 2>A 1, fill in the blanks with the correct numbers for the values of λ 1, A2, and y 0 The general solution of the given differential equation is where X 1 = and A 2 = For limt → +∞ [y (t)] = 0, yo'=

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