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## Main Question or Discussion Point

i have solved a differential equation with shooting methods, the output is in form of interpolate function, i can see it with a graphics, but i i would have an approssimate analitic form what kind of function i have to do ?

the equation give in output have this form..

InterpolatingFunction[{{-0.35,0.35}},<>][theta1]

where theta1 is the indipendet variable....

i would like to have a forme like :

g[theta1] = a *theta1^2+ b*theta1+ c...

how can i have this solution ?

the equation give in output have this form..

InterpolatingFunction[{{-0.35,0.35}},<>][theta1]

where theta1 is the indipendet variable....

i would like to have a forme like :

g[theta1] = a *theta1^2+ b*theta1+ c...

how can i have this solution ?