# What is a solution to the differential equation dy/dy=sqrt(1-y)?

Oct 2, 2016

If this is written correctly, then you know that $\frac{\mathrm{dy}}{\mathrm{dy}} = 1$. That makes this really easy. But first, let's write this in the standard form:

$\frac{\mathrm{dy}}{\mathrm{dy}} - \sqrt{1 - y} = 0$

Now, let's use the fact that $\frac{\mathrm{dy}}{\mathrm{dy}} = 1$ to get:

$1 - \sqrt{1 - y} = 0$

$1 - \left(1 - y\right) = 0$

$\implies \textcolor{b l u e}{y = 0}$