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

Solution Of A Differential Equation]

  • Thread starter NEWO
  • Start date
  • #1
95
0
Hi all I was wondering if i could get some help with this.

1. I need to be able to solve a second order differential equation,

2. d^2(y)/dx^2= c/x

where c is an arbitary constant.

I was thinking that the solution would take form of a trigonometrial eqauation, would this be correct?

Thanks for your time

N



The Attempt at a Solution

 

Answers and Replies

  • #2
D H
Staff Emeritus
Science Advisor
Insights Author
15,393
682

The Attempt at a Solution

You left this part of the template blank. What work have you done on the problem?
 
  • #3
MathematicalPhysicist
Gold Member
4,185
167
Well it's quite easy, here's a hint: succesive 'something' will do the trick.
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
41,791
919
WHY would you tnink "that the solution would take form of a trigonometrial eqauation"?
 
  • #5
tiny-tim
Science Advisor
Homework Helper
25,832
249
I was thinking that the solution would take form of a trigonometrial eqauation, would this be correct?
Hi NEWO! :smile:

Noo … you're thinking of d²y/dx² = -cy.

Hint: just say the equation in ordinary English:

"y is a function of x, and if you differentiate it twice, you get c/x." :smile:
 
  • #6
HallsofIvy
Science Advisor
Homework Helper
41,791
919
If you let [itex]v= dy/dx[/itex] then [itex]d^2y/dx^2= dv/dx[/itex] so your equation becomes [itex]dv/dx= c/x[/itex]. What is v(x)?
 
  • #7
MathematicalPhysicist
Gold Member
4,185
167
Halls, isn't your hint really the solution?
 
  • #8
HallsofIvy
Science Advisor
Homework Helper
41,791
919
Well, almost. There is still a tiny amount of work to be done. And I suspect that "NEWO" won't bother to come back to look at the responses.
 

Related Threads for: Solution Of A Differential Equation]

  • Last Post
Replies
7
Views
2K
Replies
3
Views
956
Replies
5
Views
6K
Replies
2
Views
3K
Replies
5
Views
1K
Replies
10
Views
4K
Replies
1
Views
1K
Top