Originally Posted by

**Cluuia09320** I'm learning very basic diffeqs in another math class, and the type of problems were doing are first order separable differential equations, very basic stuff.

I'm trying to use Mathematica/Wolfram Alpha to check my answers, but everytime, wolfram will output the incorrect answer and I will always have the correct answer and I can't figure out why

For example:

$\displaystyle 7\sqrt{xy}\frac{dy}{dx}=4$

I calculated y to be:

$\displaystyle y=(\frac{3}{14}8\sqrt{x}+C)^\frac{2}{3}$

When simplified, this matches the back of my book. Great. When I type the same problem for Wolfram Alpha to solve, I get back this:

Input:

Solve $\displaystyle \frac{dy}{dx}=\frac{4}{7\sqrt{xy}}$

Output:

$\displaystyle y = \frac{3}{14}^\frac{2}{3} (8 \sqrt{x} + 7*C)^\frac{2}{3}$

Which is completely wrong. Could this be a bug in the CAS?