The general solution of the equation is obtained in two steps. d² da23 is found to be Firstly, the solution yh to the ho

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The general solution of the equation is obtained in two steps. d² da23 is found to be Firstly, the solution yh to the ho

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The General Solution Of The Equation Is Obtained In Two Steps D Da23 Is Found To Be Firstly The Solution Yh To The Ho 1
The General Solution Of The Equation Is Obtained In Two Steps D Da23 Is Found To Be Firstly The Solution Yh To The Ho 1 (114.13 KiB) Viewed 41 times
The general solution of the equation is obtained in two steps. d² da23 is found to be Firstly, the solution yh to the homogeneous equation d² dx29-9y= Y-9y=e4x Yh 0 Aek1x + Bek2x (1) where {k₁, k2} = {3,-3} , for constants A and B. Recall: to enter a set into Maple, use curly brackets, for example, to enter the set {0, 1} you would type {0,1}. Secondly, to find a particular solution we try something that is not a solution to the homogeneous equation and looks like the right-hand side of (1), namely yp = ae ae. Substituting into (1) we find that a = The general solution to equation (1) is then the sum of the homogeneous and particular solutions; y = Yh+Yp.
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