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Question: display problem of constant of integration when using alias

Question:display problem of constant of integration when using alias

nm 8552 Maple 2022
alias latex
April 25 2022
3

I am using the method of alias(seq(c[k] = _C||k, k = 1..10)); for better latex of constants generated from solving an ode as recommended. See this for example. 

This works well 99.99% of the time. But now I noticed this in Maple 2022. Is this a display issue? When the constant is inside an inert Int it does not display the same as the other constant outside. Also the Latex is not the same. Even though lprint shows they are both correct.

This is the worksheet itself


 

> 

restart;
> 

interface(version);

`Standard Worksheet Interface, Maple 2022.0, Windows 10, March 8 2022 Build ID 1599809`

> 

alias(seq(c[k] = _C||k, k = 1..10));
ode:=x*diff(y(x),x$2)-cos(x)*diff(y(x),x)+sin(x)*y(x)=2;
sol:=dsolve(ode);
lprint(sol)

c[1], c[2], c[3], c[4], c[5], c[6], c[7], c[8], c[9], c[10]

x*(diff(diff(y(x), x), x))-cos(x)*(diff(y(x), x))+sin(x)*y(x) = 2

y(x) = (c[2]+Int((c[1]+2*x)/(exp(Ci(x))*x^2), x))*exp(Ci(x))*x

y(x) = (c[2]+Int((c[1]+2*x)/exp(Ci(x))/x^2,x))*exp(Ci(x))*x

> 

latex(sol)

y \! \left(x \right) =
\left(c_{2}+\textcolor{gray}{\int}\frac{\mathit{c[1]} +2 x}{{\mathrm e}^{\mathrm{Ci}\left(x \right)} x^{2}}\textcolor{gray}{d}x \right) {\mathrm e}^{\mathrm{Ci}\left(x \right)} x

> 

restart;
> 

ode:=x*diff(y(x),x$2)-cos(x)*diff(y(x),x)+sin(x)*y(x)=2;
sol:=dsolve(ode);
lprint(sol)

x*(diff(diff(y(x), x), x))-cos(x)*(diff(y(x), x))+sin(x)*y(x) = 2

y(x) = (_C2+Int((_C1+2*x)/(exp(Ci(x))*x^2), x))*exp(Ci(x))*x

y(x) = (_C2+Int((_C1+2*x)/exp(Ci(x))/x^2,x))*exp(Ci(x))*x

> 

 


 

Download april_25_2022.mw

 

 
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