Recent content by Juggler123

Sorry I should have been more clear. I have determined the solution R(\xi) , the solution is $$\ln(R(\xi))+\frac{mR(\xi)^{n-1}}{n-1}=\bar{w}_{\infty}\xi+C.$$ I simply need to rearrange this to say R(\xi)=\cdots

I have determined the solution to a nonlinear first order ordinary differential equation but am struggling to rearrange the result, I have that $$\\ln(R)+\frac{mR^{n-1}}{n-1}=\bar{w}_{\infty}\xi+C.$$ How would I rearrange this equation for $$R$$?

Yeah that's correct, if I am understanding little 'o' notation correctly I believe it's equivalent to write: 'terms of order o(R^{-1}) are neglected'

Hi, Is there a better way to write this? 'terms of order O(R^{-Y}) where Y>1 are neglected' I feel like this is a bit clumsy. Thanks for the help!

Hi all, I have an ODE of the form \frac{d^{3}\psi}{d\xi^{3}}-A\left(\psi+\xi\frac{d\psi}{d\xi}\right)=0, where \psi=C_{1}U(\xi)+C_{2}V(\xi). Is there any transformation or inventive manipulation I can use here to obtain an ODE for \sigma=U(\xi)+V(\xi)? As this is the quantity I would...

Makes perfect sense, thank you.

So to write 'in section 2' I would say 'in \S 2' for 'in subsection 4.2' would I then say 'in \S\S 4.2'? or just 'in \S 4.2'? Thanks

Hi all, (Don't mean to spam, meant to put this in General Math not General Engineering!) I'm running the following code in MATLAB: function M = nonNewtonian(~) M = bvpinit(linspace(0,10,301),@VKinit); sol = bvp4c(@VK,@VKbc,M); figure; hold all; plot(sol.x,sol.y(2,:))...

Hi I know this isn't general math but I didn't know where else to post! I'm using this code to put a figure into my TeX document: \begin{figure}[htp] \centering \includegraphics[scale=0.5]{A} \caption{Flow patterns for non-Newtonian fluids for increasing rotational speeds...

tex function dosen't seem to be working for me which is annoying... theta-dot*r^2=x^2*d/dt(y/x) which I think gives theta-dot*r^2=x^2*[y-dot*x^(-1) - y*x-dot^(-2)] not particularly nice though..

Ooops yeah missed that +! I've worked on from tanθ = y/x but can't end up a nice formula for theta dot. Just wondering if one exists!?

I've been solving some dynamical systems and have had to convert some of the ode's to polar co-ordinates, I've been using the formula r\dot{r} =x\dot{x} y\dot{y} to easily solve for \dot{r} I'm just wondering if there's an easy to use formula to find \dot{\theta} I've been trying...

I need to type http://www.artnet.com/artists/lotdetailpage.aspx?lot_id=538B3EDF20890B14 into latex but it keeps telling me I need to insert a $ symbol (to make it an equation), but I need the text written like this Is there a way to get round this problem? Thanks.

O.k using u=y^{2} then does the equation become \frac{du}{dx}-u=\frac{x(1-x^2)}{k} I still don't know where to go from here (if this is even right!) Am I missing something really easy here?

I need to solve the following ODE \frac{dy}{dx}=\frac{x(1-x^2)+ky^2}{y} I don't know what is the correct method to use though. Any help would be brilliant, thanks.