Return to Question

deleted 18 characters in body; edited tags; edited title

Source Link

edited Aug 19, 2023 at 10:25

how to teach How can I let Mathematica know that the Laplacian of a function is zero?

Suppose I have a long algebraic expression, and in there somewhere I have derivatives of a function V[x,y,z]V[x,y,z].

I want to set

D[V[x,y,z],{x,2}] + D[V[x,y,z],{y,2}] + D[V[x,y,z],{z,2}]

D[V[x,y,z], {x,2}] + D[V[x,y,z], {y,2}] + D[V[x,y,z], {z,2}]

to zero. How tocan I program this? I don't want to specify the function., I just want to set its Laplacian to zero.

All suggestions all welcome.

Suppose I have a long algebraic expression and in there somewhere I have derivatives of a function V[x,y,z].

I want to set

D[V[x,y,z],{x,2}] + D[V[x,y,z],{y,2}] + D[V[x,y,z],{z,2}]

to zero. How to program this? I don't want to specify the function. I just want to set its Laplacian to zero.

All suggestions all welcome.

Suppose I have a long algebraic expression, and in there somewhere I have derivatives of a function V[x,y,z].

I want to set

D[V[x,y,z], {x,2}] + D[V[x,y,z], {y,2}] + D[V[x,y,z], {z,2}]

to zero. How can I program this? I don't want to specify the function, I just want to set its Laplacian to zero.

Source Link

asked Aug 19, 2023 at 5:03

Suppose I have a long algebraic expression and in there somewhere I have derivatives of a function V[x,y,z].

I want to set

D[V[x,y,z],{x,2}] + D[V[x,y,z],{y,2}] + D[V[x,y,z],{z,2}]

to zero. How to program this? I don't want to specify the function. I just want to set its Laplacian to zero.

All suggestions all welcome.

functions