Need help with solving partial derivative equation

I need help solving the equation by converting it to code and make it into graph. I tried finding example in forum but i can't seem to get step by step tutorial. Any kind soul? Thanks.

Answer 1

[David Goodmanson]

try: doc meshgrid

for an example that is very similar to what you are looking to do.

[Ch My]

Thanks a lot but that's actually my own example.

Answer 2

[Walter Roberson]

exp(x*y-4/3*(x^3+y^3)) = F for constant F is not a partial differential equation. You can solve() it to get y. If you assume that all the quantities are real-valued then

y = (1/2)*((-4*x^3-3*ln(F)+sqrt(-x^3+16*x^6+24*x^3*ln(F)+9*ln(F)^2))^(2/3)+x)/(-4*x^3-3*ln(F)+sqrt(-x^3+16*x^6+24*x^3*ln(F)+9*ln(F)^2))^(1/3)