By Claude Michael Cassano
Finding a specific strategies to a linear inhomogeneous usual differential equation has continuously been a technique of identifying homogeneous ideas, after which including any specific answer of the inhomogeneous equation. the well known equipment of undetermined coefficients and edition of parameters have lengthy been the traditional in picking out this actual answer. the previous has occasionally been thought of 'ad-hoc', and either will be problematic. a comparatively easy formuila has been came across which permits the actual technique to be written and evaluated instantly. The formulation for 2d, third, & 4th orders are built on their lonesome, after which that of arbitrary order is received and confirmed. alongside the way in which, various concrete examples are supplied for guaranteed verification; and fifth & sixth order formulation are proven, as well.
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A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations by Claude Michael Cassano