1. Determine whether the given set of functions is linearly independent on the interval (-∞,00). fi(x) = x, f₂(x)=x², f3(x) = 4x - 3x² 2. Find the general solution of the given second-order differential equation. 4y" + y = 0 3. Solve the given differential equation by superposition approach of undetermined coefficients. 4y" +9y = 15

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