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


by Jeff12341234
Tags: method, solve
Jeff12341234
Jeff12341234 is offline
#1
Jan28-13, 10:54 AM
P: 179
ex2=t-1ex2-[itex]\frac{1}{tx}[/itex][itex]\frac{dt}{dx}[/itex]

Which method should be used and how can you tell just by looking at it?
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bigfooted
bigfooted is offline
#2
Jan28-13, 11:46 AM
P: 262
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:
[itex] \frac{dt}{dx}=xe^{x^2}(1-t)[/itex]

It is linear as well as separable.
Mark44
Mark44 is offline
#3
Jan28-13, 12:34 PM
Mentor
P: 20,962
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.


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