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Question: why does dsolve return the trivial solution y(x) as solution to an ode?

Question:why does dsolve return the trivial solution y(x) as solution to an ode?

nm 10583
dsolve
July 25 2014
2

Maple 18.01, windows

restart;
ode:=2*a^2*y(x)-2*y(x)^3+3*a*(diff(y(x), x))+diff(y(x), x$2)=0;
dsolve(ode,y(x));

           returns y(x)=0

 

So does

ode:=2*a^2*y(x)-20*y(x)^3+3*a*(diff(y(x), x))+diff(y(x), x$2)=0;

ode:=2*a^2*y(x)-200*y(x)^3+3*a*(diff(y(x), x))+diff(y(x), x$2)=0;

ode:=2*a^2*y(x)-2000*y(x)^3+3*a*(diff(y(x), x))+diff(y(x), x$2)=0;

etc...

Is this a bug?

 

 

 
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