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

by Jeff12341234
Tags: method, solve
Jeff12341234 is offline
Jan28-13, 10:54 AM
P: 179

Which method should be used and how can you tell just by looking at it?
Phys.Org News Partner Science news on Phys.org
Better thermal-imaging lens from waste sulfur
Hackathon team's GoogolPlex gives Siri extra powers
Bright points in Sun's atmosphere mark patterns deep in its interior
bigfooted is offline
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 is offline
Jan28-13, 12:34 PM
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.

Register to reply

Related Discussions
Using Shell method to solve Disk method Problem Calculus & Beyond Homework 0
Which method to solve Differential Equations 1
Solve PDE Method of Characteristics help Calculus & Beyond Homework 1
Can anyone suggest to me a method to solve the following? Differential Equations 6
Best method to solve this integral? Calculus & Beyond Homework 11