Construct a linear differential equation of order 2 for


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.

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Mathematics: Construct a linear differential equation of order 2 for
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