Question

Differential equation.

Answer 1

So first off you already know there's an answer but if you didn't you could take the curl of this to make sure that this was gradient of a scalar field.

If that doesn't make sense, just tell me what you know about since there are multiple ways to solve this.

Answer 2

I did answer this one.. Its just too long and I didn't get the right answer.. Uhm, any shortcuts? techniques?

Answer 3

divide across by (4 + x^2) and (z^2 + 1) and this looks super easy

this is just div(something) , yes? with the dx dy dz left in as a clue...

Answer 4

curses,.., technically its a total differential

Answer 5

\[d \psi = \frac{∂ \psi}{∂x}dx + \frac{∂ \psi}{∂y}dy + \frac{∂ \psi}{∂z}dz\]