Recent content by jake2

Hi all, I am trying to select a motor for a project that will have enough torque to operate the steering wheel of a golf cart. I'm trying to avoid over design as I want to be as economical as possible. The problem that I am having lies in determining the torque that is required to move the...

Homework Statement ∇^{2}u=0 on 0<x<∏, 0<y<2∏ subject to u(0,y)=u(∏,y)=0 and u(x,0)=0, u(x,2∏)=1Homework Equations -- The Attempt at a Solution I've solved the SLP, and now I am trying to solve the Y-equation that results from separation of variables: Y''-λY=0, Y(0)=0...

Homework Statement solve: 160y''=160g-ky y(0)=-200 and y'(0)=0 2. The attempt at a solution I tried to use guess and check to solve this equation, but it didn't turn out nice at all... y''=9.8 - (ky)/160 y''+(ky)/160 = 9.8, guess y=e^(λt), y'=λe^(λt), y''=λ^2e^(λt) : this gives...

Yup already finished. The problem got much simpler as things began to cancel. I love it when problems work out nicely. Thanks (: I think the main thing that hung me up was changing gears from studying how to solve differential equations using Laplace Transforms back to using integrating factors.

Problem Statement Find the general solution to ty'-4y=(t^6)*(e^t) Solution Attempt I added the 4y over and divided by t y'=[(t^6)(e^t)+4y] / t I am not sure where to go from here. I'm pretty sure that separation of variables won't work, because I don't think that I can separate the 4y...