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## Homework Statement

I'm taking an online introductory chem course, and while explaing the failure of classical mechanics to describe electron behavior, the teacher brought up the following ode which is based on newton's second law and coulombs law:

-e^2/4(pi)(epsilon-nuaght)r^2=m(d^2r/dt^2)

she said that given the initial condition r=10 angstrom, the radius would be 0 at 1 nanosecond

2. Homework Equations

2. Homework Equations

How did she solve this? I thought for seperation of variables, you needed both an initial x and f(x). Here there is only the f(x), the initial radius.

## The Attempt at a Solution

The only thing i can think of is that inital t is 0. even so I am still rusty at doing double integrals an eliminating the integration constants. Any help would be appreciated!!!