# Differential equation question

This is not a homework question, but I am posting here so as not to run afoul of the "rules."

## Homework Statement

$$(1/z) * dz/dx = a* \sqrt{dy/dx}$$

where x,y,z are variables and a is a constant.

See above

## The Attempt at a Solution

$$\left[ (1/z) * dz/dx = a*[tex]\sqrt{dy/dx} \right] *dx$$

Thus,
$$dz/z = a* \sqrt{dy * dx}$$

$$\int dz/z$$ = $$\int a* \sqrt{dy * dx}$$

$$ln(z) = \int a \sqrt{dy * dx}$$

??

$$(dz/z)^2 = a^2* dy * dx$$