Solving Differential Equations of Type R'' + R' +R[(constants) + e^(-R^2)] = 0

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Homework Statement

What method would you use to solve DE's of this type
R'' + R' +R[(constants) + e^(-R^2)] = 0

?

Homework Equations


The Attempt at a Solution

 
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That is a very badly non-linear differential equation. I suspect that a numerical (approximate) solution would be the best you could do.
 
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