Question: system of 3 nonlinear odes using shooting techniques

I want to solve the following set of ODEs numerically using shooting techniques

they are:

de := diff(x(t), t)+2*(diff(x(t), t))^2-y(t)-.1*z(t) = 0, diff(y(t), `$`(t, 2))-x(t)*(diff(y(t), t)) = 0, .2*(diff(z(t), `$`(t, 2)))-x(t)*(diff(z(t), t)) = 0; bc := y(0) = 1, z(0) = 1, x(0) = 0, x(infinity) = 0, y(infinity) = 0, z(infinity) = 0; gn := desolveSH({bc, de}, t = 0 .. 20, info = 1, numeric)

Any help

 

Please Wait...