Transform the differential equation to find a nontrivial solution such that x(0) = 0. What I have so far after the laplace transform is: Then taking the integral, I have
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Try e to the (what you had) The X is found, and then you backtrack to x.
Originally Posted by tttcomrader Transform the differential equation to find a nontrivial solution such that x(0) = 0. What I have so far after the laplace transform is: Then taking the integral, I have I have no time now but will take a closer look later.
Originally Posted by mr fantastic I have no time now but will take a closer look later. Just for the record, Mathematica doesn't like either as a closed form solution. (That doesn't always mean that there isn't one, though.) -Dan
Last edited by topsquark; Jun 27th 2008 at 04:56 AM.
Originally Posted by tttcomrader Transform the differential equation to find a nontrivial solution such that x(0) = 0. What I have so far after the laplace transform is: Then taking the integral, I have what you got is incorrect! if, as your notation, then since we are given that we will get: thus the transformation of your differential equation is: that will give you where is any constant. so the general solution is: where is any constant. Q.E.D.
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