How can I input the syntax of this Differential Equation (2*x + y^2 + 2*x*y*y' = 0)?

Hi. How can I input the syntax of this Differential Equation (2*x + y^2 + 2*x*y*y' = 0) in MATLAB? Using hand calculation with Exact Equation Method the answer is x^2+x*y^2 = C. I used this syntax, ode = diff(y,x) == (-2*x-y^2)/(2*x*y) but got different solution which was (-x*(x^2 + C1))^(1/2)/x -(-x*(x^2 + C1))^(1/2)/x .

Note that I followed the example problem (dydt+y)^2 = 1 in https://au.mathworks.com/help/symbolic/solve-a-single-differential-equation.html#d118e24819 help documentation.

Thanks.

[Lawrence Galvez]

I got it. I failed to simplify my solution in terms of y. The hand calculation and MATLAB output is the same.