The order of the differential equation can be determined by looking at the highest ordered derivative in the equation.
From the previous examples, let's determine the order of the differential equations:
(dy)/(dx) = cos(x) is an order one or differential equation of first order since the highest derivative in this one is (dy)/(dx) = cos(x)
{ [(d^2)(y)] / [(dx)^2] } + (k^2)(y) = 0 is an order two or differential equation of second order since the highest derivative in this one is { [(d^2)(y)] / [(dx)^2] } + (k^2)(y) = 0
[(x^2) + (y^2)]dx – 2xydy = 0 is an order one or differential equation of first order since the highest derivative in this one is [(x^2) + (y^2)]dx – 2xydy = 0
L{ [(d^2)(y)] / (dt)^2 } + R [ (di)/(dt) ] + (1/C)i = ewcos(wt) is an order two or differential equation of second order since the highest derivative in this one is L{ [(d^2)(y)] / (dt)^2 } + R [ (di)/(dt) ] + (1/C)i = ewcos(wt)
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Differential Equations (Notes, Lecture, and Examinations)
Non-FictionThis book contains the compilation of our notes, lecture notes and articles about Differential Equations. We are publishing this book to share our understanding about the subject matter. Please, kindly leave a vote if you find this book helpful. Tha...
