Construct a linear differential equation of order two

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Prove that the pair of functions {y₁(x) = sin x; y₂(x) = x sin a;} on the interval I = (0, π) are linearly independent. Construct a linear differential equation of order 2, for which {y₁(x) = sinx; y₂(x) = x sinx} is a set of fundamental solutions.

Reference no: EM131005679

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