multivariable dsolve. Can it be solved for multivariables?

Good day, I am solving a multivariable symbolic EDO, the issue is that when it results I get an error. What would be the problem? Does dsolve only serve to solve EDO of a single variable? I attach my code. Thank you very much.

if true
  % code
      syms H0 H1 m y wmax D x ro P(x,y) g
      Eq_1=diff(P,x,y)==ro*(wmax^2*x-g*y)
      cond=P(0,0)==0
      Sol(x,y)=dsolve(Eq_1,cond)
end

Answer 1

[Christopher Creutzig]

You are trying to solve a PDE (partial differential equation), but dsolve only handles ODEs (ordinary differential equations), where all derivatives are with respect to the same variable. Which is what the error message says, using the terminology “independent variable”:

Error using dsolve>mupadDsolve (line 319)
Symbolic ODEs must have exactly one independent variable.

[Darshan Soni]

@Christopher Creutzig Then how can I solve a 2 variable Partial differential equation?

[Christopher Creutzig]

@Darshan Soni Symbolic Math Toolbox currently does not have PDE support. You can get numerical solutions with the PDE Toolbox.