function [dX] = BallDynamics(X)
% [dX] = BallDynamics(X)
% ECE 463 lecture #6
% ball rolling in a bowl

 x = X(1);
 dx = X(2);
 g = -9.8;


 dX = zeros(2,1);
 dX(1) = dx;
 dX(2) = (5.6*dx*dx + 2*g)*x / ( 1.4*(1 + 4*x*x));

end