Register to reply

Need help to solve one differential equation

by TimJ
Tags: differential, equation, solve
Share this thread:
TimJ
#1
Apr6-09, 02:31 PM
P: 18
Does anybody know how to solve this differential equation:

[tex]
\frac{d^2 \theta}{dt^2}-A\sin(\theta)-
\frac{B^2 \cos(\theta)}{ \sin^3(\theta) }=0
[/tex]

This is an equation that i get from the brachistochronic motion on the surface of a sphere.
Phys.Org News Partner Science news on Phys.org
New type of solar concentrator desn't block the view
Researchers demonstrate ultra low-field nuclear magnetic resonance using Earth's magnetic field
Asian inventions dominate energy storage systems
tiny-tim
#2
Apr6-09, 06:06 PM
Sci Advisor
HW Helper
Thanks
tiny-tim's Avatar
P: 26,148
Hi TimJ! Welcome to PF!

(have a theta: θ and an omega: ω )
Quote Quote by TimJ View Post
[tex]
\frac{d^2 \theta}{dt^2}-A\sin(\theta)-
\frac{B^2 \cos(\theta)}{ \sin^3(\theta) }=0
[/tex]
Try writing d2θ/dt2 = dω/dt = dω/dθ dθ/dt = ω dω/dθ = 1/2 d(ω2)dθ,

so d(ω2)/dθ = 2Asinθ + 2Bcotθcosec2θ
TimJ
#3
Apr7-09, 03:41 AM
P: 18
Thank you for your help.


Register to reply

Related Discussions
Solve differential equation Calculus & Beyond Homework 4
How do you solve this differential equation? Calculus & Beyond Homework 1
Differential equation I can't solve Advanced Physics Homework 1
How to solve this differential equation? Calculus & Beyond Homework 2
Solve the Differential Equation: (1 - x^2) y'' - (4x) y' + (6) y = 0 Introductory Physics Homework 1