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lsode twice problem


From: marciopfrs
Subject: lsode twice problem
Date: Fri, 17 Jan 2014 12:17:47 -0800 (PST)

Hello,

I'm using the following commands to solve the ODE:
%         y''(t) = (y'(t))^2/2 - 2y +2
%         y(0) = 1?
%         y'(0) = 0?
% using the system 
% Y(1) = v'= v^2/2 - 2y +2
% Y(2) = y' = v
% X(1) = v
% X(2) = y
function Y=f(X,t); Y=[X(1)*X(1)/2 - 2*X(2) + 2, X(1)]'; endfunction;
        X0 = [.7, .845]';
        t = linspace(0, 20, 91);
        X = lsode('f', X0, t);
%       plot(t, X(:,1), t, X(:,2))
%       plot(t, X(:,2))

I tried a lot but was not able to use the solution "y" of this ODE in
another ODE
%w'=y*w +1.

How can I do this?




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