Abstract
Consider the second-order linear differential equation \(p_0(t)y''+p_1(t)y'+p_2(t)y~=~r(t),\) where the functions \(p_0,p_1,p_2\), and r are continuous in an open interval \(I=(\alpha ,\beta ),\) and \(p_0(t)\ne 0\) for all \(t\in I\) [1, 2]. For (3.1) the corresponding homogeneous differential equation \(p_0(t)y''+p_1(t)y'+p_2(t)y~=~0\) plays an important role.
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Agarwal, R.P., Hodis, S., O’Regan, D. (2019). Second- and Higher Order Differential Equations. In: 500 Examples and Problems of Applied Differential Equations. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-26384-3_3
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DOI: https://doi.org/10.1007/978-3-030-26384-3_3
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