Question: parameter plot help required?

Hello everyone,

Here is my question,

restart:with(plots):

Eq:= diff(f(y),y$3)+f(y)*diff(f(y),y$2)-diff(f(y),y$1)^2-S*(diff(f(y),y$1)+y/2*diff(f(y),y$2))=0;

bc:=D(f)(0)=1,f(0)=0,(D@@2)(f)(b)=0, f(b)=S*b/2;

How we can plot b vs S?

 

Thanks

 

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