Differential equation a, (x)y" + a, (x)m² + a, (x) - O is given. The y functions a, a, a, are continuous on a ≤ x ≤ b and a, (x) 0 for every x in this interval. Let and be linearly independent solutions of this DE and let A,B₂ - A,B, 0 for constants A₁ A₂, B₁, B₂. Show that the solutions A₁f₁ + A₂f and B₁f + B₂f are linearly independent solutions of the given DE on asxsb. (Hint: Use Wronskian determinant to prove the linearly independence)