Question: System of higer order ODEs

How to solve the boundary value problem for this system of ODEs. I used solve DE Interactivly but that failed to get me an answer.

 

ODEs:=4/5*F(x)*T(x)'-1/5*F(x)'*T(x)=T(x)'',  3/5*F(x)'^2-4/5*F(x)*F(x)''=-F(x)'''+T(x)

BCs:=F(0)=0. F'(0)=0, F'(10)=0, T(10)=0, T'(0)=-1

 

Thanks in advance,

 

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