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Question: Why Maple refuses to change location of constants unless doing restart?

Question:Why Maple refuses to change location of constants unless doing restart?

nm 10763 Maple 2020
differential-equations restart
December 11 2020
2

This puzzling to me. First will show the code, then explain the problem

restart;
ode:=diff(diff(y(x),x),x)+8*diff(y(x),x)+25*y(x) = 1;
sol:=dsolve(ode);
sol:= y(x)= _C2*exp(-4*x)*sin(3*x)+ _C1*exp(-4*x)*cos(3*x) + 1/25;
sol:= y(x)= _C2*exp(-4*x)*sin(3*x)+ _C1*exp(-4*x)*cos(3*x) + 1/25;
sol:= y(x)= _C2*exp(-4*x)*sin(3*x)+ _C1*exp(-4*x)*cos(3*x) + 1/25;

restart;

sol:= y(x)= _C2*exp(-4*x)*sin(3*x)+ _C1*exp(-4*x)*cos(3*x) + 1/25;

I was trying to changing the constant of integrations, to make them show at front, where it is better. But Maple refused to do so. Here is the output:


 

> 

interface(version)

`Standard Worksheet Interface, Maple 2020.2, Windows 10, November 11 2020 Build ID 1502365`

> 

restart;
ode:=diff(diff(y(x),x),x)+8*diff(y(x),x)+25*y(x) = 1;
sol:=dsolve(ode);
sol:= y(x)= _C2*exp(-4*x)*sin(3*x)+ _C1*exp(-4*x)*cos(3*x) + 1/25;
sol:= y(x)= _C2*exp(-4*x)*sin(3*x)+ _C1*exp(-4*x)*cos(3*x) + 1/25;
sol:= y(x)= _C2*exp(-4*x)*sin(3*x)+ _C1*exp(-4*x)*cos(3*x) + 1/25;

diff(diff(y(x), x), x)+8*(diff(y(x), x))+25*y(x) = 1

y(x) = exp(-4*x)*sin(3*x)*_C2+exp(-4*x)*cos(3*x)*_C1+1/25

y(x) = exp(-4*x)*sin(3*x)*_C2+exp(-4*x)*cos(3*x)*_C1+1/25

y(x) = exp(-4*x)*sin(3*x)*_C2+exp(-4*x)*cos(3*x)*_C1+1/25

y(x) = exp(-4*x)*sin(3*x)*_C2+exp(-4*x)*cos(3*x)*_C1+1/25

> 

restart;
> 

sol:= y(x)= _C2*exp(-4*x)*sin(3*x)+ _C1*exp(-4*x)*cos(3*x) + 1/25;

y(x) = _C2*exp(-4*x)*sin(3*x)+_C1*exp(-4*x)*cos(3*x)+1/25

> 

 


Why restart is needed to make Maple keep the output same as input? is it possible to rewrite it without having to do restart?

Download why_restart_needed.mw

 
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