• Support PF! Buy your school textbooks, materials and every day products Here!

Obtaining General Solution of ODE

  • #1
12
0

Homework Statement


So they want me to obtain the general solution for this ODE.
Screen Shot 2016-11-01 at 12.00.43.png


Homework Equations


I have managed to turn it into d^2y/dx^2=(y/x)^2.

The Attempt at a Solution


My question is, can I simply make d^2y/dx^2 into (dy/dx)^2, cancel the power of 2 from both sides of the equation and then integrate it normally?

If not, why?
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
I believe you can however, just make sure that you re-write it as dy/dx = +/- y/x


Also note the distinction that d^2y/dx^2 = d/dx(dy/dx) i.e. differentiating dy/dx wrt x and (dy/dx)*(dy/dx) = (dy/dx)^2.
 
  • #3
33,097
4,796
I believe you can however, just make sure that you re-write it as dy/dx = +/- y/x
In other words, solve dy/dx = y/x as well as dy/dx = -y/x.
 
  • #4
12
0
In other words, solve dy/dx = y/x as well as dy/dx = -y/x.
Thanks guys!
 

Related Threads for: Obtaining General Solution of ODE

Replies
3
Views
300
  • Last Post
Replies
2
Views
671
Replies
3
Views
1K
  • Last Post
Replies
1
Views
691
  • Last Post
Replies
8
Views
945
Replies
1
Views
845
Replies
9
Views
1K
  • Last Post
Replies
3
Views
2K
Top