The general solution of the equation is obtained in two steps. d² da23 is found to be Firstly, the solution yh to the ho
Posted: Mon Jul 11, 2022 10:48 am
solutions; y = Yh+Yp.
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