We have verified that x² and x are linearly independent solutions of the following second-order, homogenous differential equation on the interval (0, ∞). x²y" - 4xy' + 6y = 0 The solutions are called a fundamental set of solutions to the equation, as there are two linearly independent solutions and the equation is second-order. By Theorem 4.1.5, the general solution of an equation, in the case of econd order, with a fundamental set of solutions Y1 and y₂ on an interval is given by the following. y = C₁Y₁ + C₂Y2 Find the general solution of the given equation.

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