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Question: Can Maple solve an implicit piecewise differential equation?

Question:Can Maple solve an implicit piecewise differential equation?

MarkusBE 0 Maple
differential-equation piecewise
January 05 2011
0

I am trying to solve a piecewise differential equation of the following form:

FOI := diff(r(x), x) = piecewise(r(x) < 0, 1, r(x) > 0, 0)
dsolve({FOI, r(0) = -1})

but MAPLE returns an error stating

Error, (in dsolve) when calling '`property/ConvertProperty`'. Received: 'real is an invalid property'

I do not know what to make of this. I have tried playing around with assumptions but no luck. Am I doing something wrong? Can Maple solve this sort of differential equation?

Many thanks
Markus
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