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:
“[In government] the problem to be solved is, not what form of government is perfect, but which of the forms is least imperfect.”
—James Madison (1751–1836)
“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)
“I do not propose to write an ode to dejection, but to brag as lustily as chanticleer in the morning, standing on his roost, if only to wake my neighbors up.”
—Henry David Thoreau (1817–1862)