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 =
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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 =
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
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