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Question: Maple returns y(x)=0 as solution to ode when there exist nontrivial solution

Question:Maple returns y(x)=0 as solution to ode when there exist nontrivial solution

nm 10978 Maple 2023
ode dsolve differential-equations
November 01 2023
1

May be someone could help me understand the logic that Maple goes through in this example.

restart;
ode:=diff(y(x), x) = sqrt(y(x))*sin(x);
dsolve([ode,y(0)=0]);
dsolve([ode,y(0)=0],'implicit');

For first dsolve it returns y(x)=0 and for the second it returns what is expected which is sqrt(y(x)) + cos(x)/2 - 1/2 = 0

Why this difference in result? Just trying to understand the logic behaind it. 

Maple 2023.1 on windows 10

``

> 

restart;
> 

ode:=diff(y(x), x) = sqrt(y(x))*sin(x);
dsolve([ode,y(0)=0]);
dsolve([ode,y(0)=0],'implicit');

diff(y(x), x) = y(x)^(1/2)*sin(x)

y(x) = 0

y(x)^(1/2)+(1/2)*cos(x)-1/2 = 0

> 

 

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