Is anyone knows how to apply continuous Newton method for solving nonlinear ODE systems? For example let the system is:
$$\left|\begin{array}{cc} y'= \frac{z}{x} \\ z'= \frac{z(y+2z-1)}{x(y-1)}\end{array}\right.$$
Is anyone knows how to apply continuous Newton method for solving nonlinear ODE systems? For example let the system is:
$$\left|\begin{array}{cc} y'= \frac{z}{x} \\ z'= \frac{z(y+2z-1)}{x(y-1)}\end{array}\right.$$