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Differential Equations 19 Online
OpenStudy (anonymous):

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jimthompson5910 (jim_thompson5910):

That integration looks correct since it's being integrated with respect to t. Don't forget the +C

jimthompson5910 (jim_thompson5910):

so x is the distance m1 is from m2?

jimthompson5910 (jim_thompson5910):

if so, then how is m2 equal to x?

jimthompson5910 (jim_thompson5910):

What's the full initial problem?

jimthompson5910 (jim_thompson5910):

How did you define x?

jimthompson5910 (jim_thompson5910):

so it's dv/dx instead of dv/dt? I think it should be dv/dt because acceleration is change in velocity over change in time

jimthompson5910 (jim_thompson5910):

so your integration will be with respect to t, not x

jimthompson5910 (jim_thompson5910):

well dx/dt represents the instantaneous rate of change of the particles x position with respect to time

jimthompson5910 (jim_thompson5910):

ie Vx = dx/dt

jimthompson5910 (jim_thompson5910):

that's the thing, I'm reading about the Runge-Kutta method and it's still very strange to me so I can't help you with that part sadly

jimthompson5910 (jim_thompson5910):

you mean break it down into x and y components?

OpenStudy (anonymous):

i mean i think i'm supposed to be able to just use the right hand side of dv/dt which is the -GM1 stuff and im willing to try it but since my equation is with respect to "t", do i just turn the x's into t's?

OpenStudy (anonymous):

basically i think the horizontal axis is t and the vertical is x in this case

jimthompson5910 (jim_thompson5910):

t is time x is the distance the particle M1 is away from M2. So basically the positive distance on the x axis (from 0 to M2). So I think x is still horizontal

OpenStudy (anonymous):

since the problem is one dimensional...i believe x should be on the vertical axis but im not sure anymore...ugh

jimthompson5910 (jim_thompson5910):

yeah I'm not sure of much of this problem either

jimthompson5910 (jim_thompson5910):

you might be right though

OpenStudy (anonymous):

oh well thanks jim

jimthompson5910 (jim_thompson5910):

sorry I wasn't of much help

jimthompson5910 (jim_thompson5910):

other people might know though

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