What is a solution to the differential equation dy/dx=e^-x/y?
1 Answer
Explanation:
This differential equation is separable, thus we only have to move things around and take integrals.
We have
Separable differential equations require our equation to have all
In this case, we can start off by multiplying both sides by
Moving our
This looks very familiar. In fact, we can integrate both sides now.
Our goal now is to get
Multiplying both sides by
By taking the square root of both sides we get
So, the general solutions to our differential equation are
and