Question: substitution?

Question:substitution?

mjason 249 Maple

I have the differential equation below

de1:=diff(F(eta,alpha,R),eta$4)+alpha*eta*diff(F(eta,alpha,R),eta$3)+2*alpha*diff(F(eta,alpha,R),eta$2)-R*(diff(F(eta,alpha,R),eta)*diff(F(eta,alpha,R),eta$2)-F(eta,alpha,R)*diff(F(eta,alpha,R),eta$3));

How do I evaluated it with a series representationtation of F like the one below

F(eta,R,alpha)=add(add(F[n,k](eta)*R^n*alpha^k,k=0..10),n=0..10);

i tried using the subs command to substitute it in but just got back what i started with

thanks

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