MHB Can Algebra Alone Rearrange This Differential Equation?

[whiskybrah]

I'm completely new to differential equations. I'm just doing random problems online about them. One simple problem asks to re-arrange the following so that the x's and y's are all on one side:

$$x^2 + dy/dx + xy = 1$$

Can I just use algebra to do it? Like:

$$ dy/dx = x^2/xy $$

 

[Joppy]

I'm completely new to differential equations. I'm just doing random problems online about them. One simple problem asks to re-arrange the following so that the x's and y's are all on one side:

$$x^2 + dy/dx + xy = 1$$

Can I just use algebra to do it? Like:

$$ dy/dx = x^2/xy $$

Welcome to MHB!

Yes but maybe revisit algebra first. There are several mistakes here and it isn't clear what you've done. Mind expanding? :)