I am stuck on a interpolation problem, please help
Set $\displaystyle f(x_n,y_n)= p(x_n, y_n)$ for each of the given pairs!
For example, $\displaystyle f(x_0, y_0)= e^x_0 sin(y_0)$ while $\displaystyle p(x_0, y_0)= c_0+ c_1x_0+ c_2y_0+ c_3x_0y_0+ c_4x_0^2+ c_5y_0^2$ so one of your equations is
$\displaystyle c_0+ c_1x_0+ c_2y_0+ c_3x_0y_0+ c_4x_0^2+ c_5y_0^2= e^x_0sin(y_0)$