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## Homework Statement

We have two particles, m1 and m2 at positions x1 and x2, and we want to come up with the equation of motion of particle m1 due to the gravitational field of m2 (position of m1 as a function of time).

## Homework Equations

F=Gm1m2/r^2

F=ma

## The Attempt at a Solution

m1a=-Gm1m2/r^2

a=-Gm2/(x2-x1)^2

d^2x1/dt^2=-Gm2/(x2-x1)^2

Now, I don't know how to solve this. Any help will by appreciated.