Hi, at the beginnig I want to apologise for any language mistateks i make - i'm polish

I have serious problem with such task: Solve equation x^{4}-y^{3}-4=0 in odds. I took it from an online maths competition.

I tried replacing both x^{4}and y^{3}with (2n-1)^{4}and (2m-1)^{3}by it didn't help me anyway.

It's also possible that this equation has no solution, in this case how to prove it?

Thanks a lot for your time