Professor MathTheBeautiful, thank you for an excellent analysis on the Solution of the Laplace Equation on an Annulus in Partial Differential Equations. Mathematica is also another powerful analytical and graphical tool that can be used to solve complex Partial Differential Equations. This is an error free video/lecture on TH-cam TV with MathTheBeautiful.
Thank for these lectures, they're brilliant! One quick question; Why, when introducing again the r^(-n), do you introduce a whole new sum with r^-|n| and d_n terms? Couldn't you have just erased the 'absolute value stripes' in the initial sum of Sum(-inf to + inf) c_n * r^|n| * e^(i n theta) to become Sum(-inf to + inf) c_n * r^n * e^(i n theta) and use coefficients c_(-1), c_(-2) and c_(-5) instead of d_1, d_2 and d_5?
Professor MathTheBeautiful, thank you for an excellent analysis on the Solution of the Laplace Equation on an Annulus in Partial Differential Equations. Mathematica is also another powerful analytical and graphical tool that can be used to solve complex Partial Differential Equations. This is an error free video/lecture on TH-cam TV with MathTheBeautiful.
Thank you! Amazing!
Thank for these lectures, they're brilliant! One quick question; Why, when introducing again the r^(-n), do you introduce a whole new sum with r^-|n| and d_n terms? Couldn't you have just erased the 'absolute value stripes' in the initial sum of Sum(-inf to + inf) c_n * r^|n| * e^(i n theta) to become Sum(-inf to + inf) c_n * r^n * e^(i n theta) and use coefficients c_(-1), c_(-2) and c_(-5) instead of d_1, d_2 and d_5?
Very helpful sir thanks
Great