APM346-2012 > Home Assignment 1

Problem 4

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James McVittie:
For Part (c) of Problem 4, does it refer to the solution of (5) or (6) or both?

Victor Ivrii:
To both: for one of them solution does not exist.

There was an error in the left-hand expression, now it has been corrected

Peishan Wang:
From the auxiliary equations dx/a=dy/b=du/f, we can either express du in terms of dx and integrate over x, or express du in terms of dy and integrate over y. But sometimes these two approaches give different results. Then can we say that the general solution does not exist?

Victor Ivrii:
In this settings you need to select a solution having certain properties

It may happen that


* Is what one expects
* Unusually broad
* Unusually narrow
Your task is to determine what happens here.

Peishan Wang:
I followed the normal steps and found the general solutions to both equations. I cannot figure out why one of them do not exist. Is it because some function is not defined? Get lost in part (c)...

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