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Question: differentiate piecewise constant function

Question:differentiate piecewise constant function

Zeineb 520 Maple 18
differentiation piecewise homework dsolve differential-equations
November 14 2019
0

Hi all

When I solve using maple the first-order differential equation: diff(y,x)=0  for x in the closed interval [0,1] we obtain a constant function as a solution

but one can define the piecewise constant function see please the attached code

diff_piecewise.mw

why when we differentiate the piecewise function gives undefined derivative at point zero and a half.

Whats is the relationship between this example and Existence and uniqueness theorem for fist order ode

Many thanks

 

 

 
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