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Question: is it OK for solution to an ode to have infinity in the solution itself?

Question:is it OK for solution to an ode to have infinity in the solution itself?

nm 11923 Maple 2025
ode dsolve differential-equations
10 hours ago
1

I have to ask my school teacher on this when school starts. But is it OK to have infinity in the ode solution itself?

Maple 2025.2 gives

ode:=diff(y(x),x$2)-2*diff(y(x),x)+y(x)=4*exp(-x);
IC:=y(infinity)=0;
sol:=dsolve([ode,IC])

And according to odetest, this does not verify the ode nor the IC

odetest(sol,[ode,IC])

Just asking what others think of this solution and if it should be consider a bug or not?

Maple 2025.2 on windows 10
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