restart; ynp1:=a0*y(tn)+a1*y(tn-h)+a2*y(tn-2*h)+ h*(bm1*D(y)(tn+h)+b0*D(y)(tn)+b1*D(y)(tn-h)+ b2*D(y)(tn-2*h))+E5*h^5*(D@@5)(y)(theta)/5!; r:=y(tn+h)-ynp1; eq[0]:=eval(subs(y=(x->1),r)); for j from 1 to 5 do tmp[j]:=eval(subs(y=(x->x^j),r)); eq[j]:=coeff(tmp[j],h^j); print(eq[j]); od: S1:=solve({seq(eq[k],k=0..5)},{a0,bm1,b0,b1,b2,E5}); method:=subs(E5=0,ynp1); m2:=subs(S1,method); m3:=eval(subs(D(y)=(x->f(x,y(x))),m2)); f:=(xi,eta)->A*eta; m4:=y(tn+h)=m3; ceq:=eval(subs(y=(s->rho^s),m4)); ceq2:=subs({a1=1,a2=1,tn=1,h=1},ceq); S2:=solve(ceq2,rho);