function dydx = ode1 ( x, y )

%*****************************************************************************80
%
%% ode1() evaluates the right hand side of the differential equation.
%
%  Discussion:
%
%    y" = 3/2 y^2 is rewritten as a pair of first order equations:
%
%    y'(1) = y(2)
%    y'(2) = 3/2 y(1)^2
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    26 March 2026
%
%  Author:
%
%    John Burkardt
%
%  Input:
%
%    real x(*): values of the independent variable.
%
%    real y(2,*): values of the dependent variable.
%
%    real dydx(2,*): values of the derivative.
%
  dydx(1,:) = y(2,:);
  dydx(2,:) = 1.5 * y(1,:).^2;

  return
end
