|
3rd order DE
|
View this Thread in Original format
| winston |
The equation I'm trying to solve is (r^3) * r ''' - G*m*r' = 0
the independant variable is t.
I'm not far along in DE's yet to know how to go about this. |
|
|
| ziptnf |
| Can you not use a Laplace Transform? |
|
|
| Brahman |
| Is r''' the derivative of the derivative of the derivative of r? |
|
|
| winston |
| i could use series solution |
|
|
| ziptnf |
| quote: | Originally posted by winston
i could use series solution |
You could indeed. Good idea. Post your work after you finish. :) |
|
|
| ziptnf |
| quote: | Originally posted by Brahman
Is r''' the derivative of the derivative of the derivative of r? |
It's the "third derivative", so yes... have you taken calculus? :o |
|
|
| winston |
| quote: | Originally posted by ziptnf
It's the "third derivative", so yes... have you taken calculus? :o |
:p |
|
|
| winston |
almost done. post your ideas. if you want. i need more coffee...
| quote: | Originally posted by ziptnf
You could indeed. Good idea. Post your work after you finish. :) |
oi, i need help with matrices; have you taken multivariable caculus? |
|
|
| Omega_M |
| quote: | Originally posted by winston
The equation I'm trying to solve is (r^3) * r ''' - G*m*r' = 0
the independant variable is t.
I'm not far along in DE's yet to know how to go about this but I was bored and trying to derive something and came across it. |
This to me looks like a nonlinear differential equation. I don't think there's an easy way to solve this.
Are you sure there's a product term involving r^3 * r''' ?
Has this come out of a mechanics problem ? G,m,r are classic variables used to represent gravitational constant, mass and distances.
| quote: | Originally posted by ziptnf
Can you not use a Laplace Transform? |
I don't think so. |
|
|
| ziptnf |
| quote: | Originally posted by winston
oi, i need help with matrices; have you taken multivariable caculus? |
Yes, I took Linear Algebra. What do you need help with? |
|
|
| winston |
| quote: | Originally posted by Omega_M
This to me looks like a nonlinear differential equation. I don't think there's an easy way to solve this.
Are you sure there's a product term involving r^3 * r''' ?
Has this come out of a mechanics problem ? G,m,r are classic variables used to represent gravitational constant, mass and distances.
|
Good point, I could use Maple or Matlab to tackle this, because I can't really depend on elementary methods now. |
|
|
| inconspicuous |
| Adewale Ogunleye |
|
|
|
|
