Recall the differential equation y' = 3y. Recall that the solution set to this differential equation is the vector space V = {ce^(3x) | c ∈ R}. a/ Determine the dimension of V. b/ Determine a basis for V.
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Since the general solution to this equation is y=c*e^(3x), where c is a constant, we can see that there is only one linearly independent solution. Show more…
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