For 3 given solutions of a second order, linear and homogeneous ODE not any linear combination of them is a solution of the same ODE their difference is not a solution of the same ODE their product is a solution of the same ODE their sum is a solution of the same ODE O it is a wrong question: a second order ODE can only have 2 linear independent solutions! their sum is a solution of another ODE O their derivatives are also solutions of the same ODE

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