Can I find exact analytical solution for an autonomous system of 6 coupled 1st-order non-linear ordinary differential equations(ODEs)?

In vector form the coupled ODEs are dA/dt = A×B dB/dt = B×e3 where A = (Ax, Ay, Az), B = (Bx, By, Bz) are 3D real vectors and e3 = (0, 0, 1). 6 coupled non-linear ODEs In rectangular components...

03 June 2014 3,909 4 View