Solved Example of A Matrix ODE
To solve the matrix ODE's according to the three steps above, using simple matrices in the process, let us find, say, function and function, both in terms of the single underlying variable x, in the following linear differential equation of the first order:
To solve this particular ordinary differential equation, at some point of the solving process, we need an initial value, a starting point. In this case, we use
Read more about this topic: Matrix Differential Equation
Famous quotes containing the words solved, matrix and/or ode:
“To the questions of the officiously meddling police Falter replied absently and tersely; but, when he finally grew tired of this pestering, he pointed out that, having accidentally solved “the riddle of the universe,” he had yielded to artful exhortation and shared that solution with his inquisitive interlocutor, whereupon the latter had died of astonishment.”
—Vladimir Nabokov (1899–1977)
“As all historians know, the past is a great darkness, and filled with echoes. Voices may reach us from it; but what they say to us is imbued with the obscurity of the matrix out of which they come; and try as we may, we cannot always decipher them precisely in the clearer light of our day.”
—Margaret Atwood (b. 1939)
“The ode lives upon the ideal, the epic upon the grandiose, the drama upon the real.”
—Victor Hugo (1802–1885)