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• 05:09, 22 May 2024 Rice talk contribs created page Reduction of order (Created page with "Category:Differential Equations The '''reduction of order''' technique allows one to find a second solution to a differential equation when one solution is already found. Take a linear second order constant coefficient homogeneous ODE (see Second order linear ODE) with one repeated-root solution. Add u(t) as follows <math> y(t)=u(t)e^{2t} </math> Substituting into the ODE, and you get <math> u'' = 0 </math> Integrating up, and you get u in the form <math>...")