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Question: What does it mean when DESol has an arbitrary constant in it?

Question:What does it mean when DESol has an arbitrary constant in it?

Hullzie16 313 Maple 2023
ode dsolve differential-equations desol
July 23 2024
1

I have a thirder order ODE with non polynomial coefficients and I naively thought to try dsolve for fun to see what happens and Maple returned DESol with a second order differential equation and an arbitrary coefficient. I know Maple outputs DESol when it cannot find a solution similar to RootOf but the arbitrary constant is what is throwing me off. 

I am unsure how to interpret this, if a particular solution is found I could reduce the order and see how I could get with the second order ODE but maple doesn't produce a particular solution when I run that command. 

DESol_Question.mw
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