Approximate a Solution Surface of an Equation (AsymptoticSolve)
The solution surface of an analytic equation can be approximated by a power series near a nonsingular solution point of the equation. This example shows how to obtain such an approximation using AsymptoticSolve.
The solution of this equation near is an analytic function of and .
Compute the power series of the solution up to the total degree five.
Plot the approximate solution. Colors of the surface correspond to distance to the exact solution.