2. [20] y₁(x) = ex and y₂(x): = e²x are both solutions to the differential equation y"" − 3y" + 2y' = 0. - a) Is the set

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2 20 Y X Ex And Y X E X Are Both Solutions To The Differential Equation Y 3y 2y 0 A Is The Set 1 (86.82 KiB) Viewed 31 times

2. [20] y₁(x) = ex and y₂(x): = e²x are both solutions to the differential equation y"" − 3y" + 2y' = 0. - a) Is the set S = {y₁(x) = e*,y₂(x) = e²x} linearly independent? Circle one choice and justify your answer. linearly independent set not a linearly independent set (b) Is this set is a fundamental solution set for the given differential equation? Circle one choice and justify your answer. fundamental solution set not a fundamental solution set