TG3
May30-09, 03:01 PM
The problem statement, all variables and given/known data
Show that y = x-(x^-1) is a solution for the differential equations:
xy' +y = 2x
The attempt at a solution
Frankly, I haven't a clue how to start.
If it weren't for the x in the xy' term this would be easy, since I could just integrate; unfortunately, I don't know how to separate the x's from the y's, and this is really a problem, because this is the first problem from the homework set. I re-read the textbook, but don't get it. Any suggestions for techniques to separate the variables?
Show that y = x-(x^-1) is a solution for the differential equations:
xy' +y = 2x
The attempt at a solution
Frankly, I haven't a clue how to start.
If it weren't for the x in the xy' term this would be easy, since I could just integrate; unfortunately, I don't know how to separate the x's from the y's, and this is really a problem, because this is the first problem from the homework set. I re-read the textbook, but don't get it. Any suggestions for techniques to separate the variables?