I try to solve my equations by using NDsolve. But it does not solve my solution. Can anyone help me to check whether I used correct command or not?
eq1 = {D[Subscript[\[Theta], c][x, y], x] -
2/(Y - Y^2)*D[Subscript[\[Theta], c][x, y], y, y] == 0};
ic = {Subscript[\[Theta], c][0, y] == 1};
bc = {DirichletCondition[{Subscript[\[Theta], c][x, y] == 0}, y == 0],NeumannValue[0, y == 1]};
sol = NDSolve[{eq1, ic, bc}, {Subscript[\[Theta], c]}, {x, 0, 1}, {y,
0, 1}]