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General methods for quasilinear system of ODE's ?

  1. Aug 22, 2008 #1
    general methods for quasilinear system of ODE's ???

    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?
    Last edited: Aug 22, 2008
  2. jcsd
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