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.
show complete Wolfram Language input