smallphi
Aug22-08, 03:28 PM
I am studying a system of ODE's of the following type:
dh/dx = H(h,g)
dg/dx = G(h,g)
The unknown functions are h(x) and g(x). The equations are nonlinear ODE's because H and G are quadratic polynomials of h and g, containing terms like h^2, hg, g^2, h^0, g^0 with some numeric coefficients. The sytem is quasilinear because the equations are linear in the derivatives.
Are there general methods to obtain the general solution of such a system?
dh/dx = H(h,g)
dg/dx = G(h,g)
The unknown functions are h(x) and g(x). The equations are nonlinear ODE's because H and G are quadratic polynomials of h and g, containing terms like h^2, hg, g^2, h^0, g^0 with some numeric coefficients. The sytem is quasilinear because the equations are linear in the derivatives.
Are there general methods to obtain the general solution of such a system?