Advanced Search

Question: derivatives with conditions

Question:derivatives with conditions

dk 10 Maple
differentiation
June 11 2020
2

Hi,

What could be an easy solution to get 2-d, 3-d etc derivatives (∂^2 V)/(∂x^2) ..,

subject to the conditions

1) 1/V(x,y) (∂V/∂x)=α(x,y)

2) -V(x,y)/diff(V(x,y),y)=beta(x,y)

More or less easy with (1), a bit tricky with (2) but is there any more or less simple and common (universal) solution(s) both for (1)-(2) and similar? I mean, find derivatives (2-d, 3-d, ...) with known first derivative.

Best
Please Wait...