Question: graphic solving of a differential equation

Hello, 

I would like to solve this differential equation: Eq2 := diff(z(x), x, x) = p*(1+(diff(z(x), x))^2)^.5 

I do not want an analytical solution, but I would like to obtain solutions on a graph, and I want to be able to change the value of the parametre p according to the value of x. 

For example, for x from 1 to 10 I want p=2, then for x from 10 to 11 I want p=10, then for x from 11 to 20 p=2...... 

Does anybody have any ideas please? :) 

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