is it possible to express an equation of 2 variables as 2 sigle variable equations?

Question

for example, can f(x,y)=xsin(x^2)cosy,
where x is in [0,(pi)^(1/2)] and y is in
[0,pi/2] be expressed as 2 single variable equations?

Answer 1

In this case no.

Answer 2

Sometimes you can.

If you have to solve xsin(x^2)cosy = 0, then you can solve x = 0, sin (x**2) = 0 and cos y = 0

Ana

Answer 3

not this time