# Which method should be used to solve this D.E.?

1. Jan 28, 2013

### Jeff12341234

ex2=t-1ex2-$\frac{1}{tx}$$\frac{dt}{dx}$

Which method should be used and how can you tell just by looking at it?

2. Jan 28, 2013

### bigfooted

you check if the equation has a form that is easy to solve: linear, exact, separable, some others that are more difficult...

So, you start by rewriting the equation:
$\frac{dt}{dx}=xe^{x^2}(1-t)$

It is linear as well as separable.

3. Jan 28, 2013

### Staff: Mentor

To add to what bigfooted said, checking the equation for separability is one of the easier things to do, so that's one of the things you should do first.

If it turns out that an equation isn't separable, at least you haven't spend much time in checking.