Question: Numiceral 2D differential equation, different initial points

If anyone could help me with this, I'd very much appreciate it.

See the attached picture called "equation". That is the differential equation I'm trying to solve. The graph (for m=1) should like as it does in the other attached picture called "graph".

I tried this


m := 1;

de := diff(y(x), x, x, x)+((m+1)*(1/2))*y(x)*(diff(y(x), x, x))+m*(1-(diff(y(x), x))^2) = 0;

DEplot(de, y(x), x = 0 .. 8, [[y(0) = 0, (D(y))(0) = 0, (D(y))(infinity) = 1]], y = 0 .. 1);


But goes this error message

Error, (in DEtools/DEplot/CheckInitial) initial point in all initial conditions must be the same

I don't know how to get around this because my initial conditions are what they are, I can't change them.

Does anyone know of a way to fix this or know of a better way? The reason I need this is because I need to get the graph for m=0.77, which isn't in those photos.

 Any help is appreciated.



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