nm

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These are questions asked by nm

When I tried these ODE's in Maple 2019, and Maple 2018, they are worked (i.e. gave solutions). Now these ODE's either hang in 2020 or return unsolved. What could have caused this? On Maple 2020, under windows 10:

restart;
ode:=(x^2-1)*diff(y(x),x)^2-y(x)^2+1=0:
dsolve(ode); #hangs

restart;
ode:=(2*x^2+1)*diff(y(x),x)^2+(y(x)^2+2*x*y(x)+x^2+2)*diff(y(x),x)+2*y(x)^2+1=0:
dsolve(ode); # return unsolved

restart;
ode:=x*y(x)^2*diff(y(x),x)^3-y(x)^3*diff(y(x),x)^2+x*(x^2+1)*diff(y(x),x)-x^2*y(x):
dsolve(ode); # return unsolved

restart;
ode:=(diff(y(x),x) = (-y(x)^2+4*a*x)^3/(-y(x)^2+4*a*x-1)/y(x)):
dsolve(ode); #hangs

I noticed that in Maple 2019.2 this problem is also there. But not in Maple 2019.  So something changed from after Maple 2019.

Here is worksheet on Maple 2018 that shows these worked there. But no longer work on Maple 2020. There might be more like these but these the ones I found so far.




issue.mw

Why 

evalf(evalf(''Pi''))

Produces 

But

evalf(''Pi''):
evalf(%)

Produces

      3.141592654

 

 

Could some Maple expert please explain this strange behavior of int? Using Maple 2020 on windows 10



Same integrand. But in one case exp(arcsin(x)) and in another exp(1)^arcsin(x). Why one worked and not the other?

Here is the code

restart;
integrand1 := (x^3*exp(arcsin(x)))/sqrt(1 - x^2);
integrand2 := (x^3*exp(1)^arcsin(x))/sqrt(1 - x^2);
simplify(integrand1-integrand2);
int(integrand1,x);
int(integrand2,x)

 

Download bug.mw

 

 

Why was the question and answer deleted for this?

 

https://www.mapleprimes.com/questions/229329-How-Can-We-Solve-Following-1D-Wave-Equation

 

 

 

 

 

Word-cloud is popular function which many languages have as add-on. Sometime called tag-cloud. https://en.wikipedia.org/wiki/Tag_cloud

"A tag cloud (word cloud or wordle or weighted list in visual design) is a novelty visual representation of text data"

I did help and did some google search, but can not find function in Maple. May be I did not search correctly.

In Mathematica is it called WordCloud. Here is an example of its use

WordCloud[Import["http://maplesoft.com"]]

And it returns this image back to the screen

 

Can one do the above in Maple? And what is the function name? Is it in special package?

 

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