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Reduction of order is a technique in mathematics for solving second-order linear ordinary differential equations. It is employed when one solution y 1 {\displaystyle y_{1}} is known and a second linearly independent solution y 2 {\displaystyle y_{2}} is desired. The method also applies to n-th order equations. In this case the ansatz will yield an -th order equation for v {\displaystyle v}.

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