# Thread: Solving differential equation

1. ## Solving differential equation

I have the following differential equation

$\frac{\partial b}{\partial x}=\frac{b-c}{c^{2}}$

where $b$ and $c$ are both functions of $x$. However, although
I have a closed form relation between $c$ and $x$, I do not have
such a closed form relation between $b$ and $x$. Is there any analytic
or numeric way to solve this problem. I want a solution linking $b$,
$c$ and $x$.

2. ## Re: Solving differential equation

The formal solution is in attachment :