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Question: Problem in the answers: What should I do?

Question:Problem in the answers: What should I do?

delvin 50 Maple 2020
solve syntax
November 18 2023
0

Why aren't all the variables in fin 1 equation?

And the answers are different from the solutions?

 

> 

restart
> 

with(student)
> 

eq1 := 12*gamma^3*rho[3]^2*(diff(w(psi), `$`(psi, 2)))+(-3*gamma*rho[2]^2+4*omega*rho[3]^2)*w(psi)+gamma*rho[3]^2*(rho[1]+2*rho[3])*w(psi)^3

12*gamma^3*rho[3]^2*(diff(diff(w(psi), psi), psi))+(-3*gamma*rho[2]^2+4*omega*rho[3]^2)*w(psi)+gamma*rho[3]^2*(rho[1]+2*rho[3])*w(psi)^3

 (1)
> 

NULL

"w(psi):=kappa[0]+sum(kappa[i]*((diff(E,psi))^(i))/((E(psi))^(i)),i=1..1)+sum(h[i]*(((diff(E,psi))^())/((E(psi))^()))^(-i),i=1..1);"

proc (psi) options operator, arrow, function_assign; kappa[0]+sum(kappa[i]*(diff(E, psi))^i/E(psi)^i, i = 1 .. 1)+sum(h[i]*((diff(E, psi))/E(psi))^(-i), i = 1 .. 1) end proc

 (2)
> 

"E(psi):=((epsilon[1]*jacobiCN(Zeta[1]*psi))+(epsilon[2]*jacobiSN(Zeta[2]*psi)))/((epsilon[3]*jacobiCN(Zeta[3]*psi))+(epsilon[4]*jacobiSN(Zeta[4]*psi))) ;"

proc (psi) options operator, arrow, function_assign; (varepsilon[1]*jacobiCN(Zeta[1]*psi)+varepsilon[2]*jacobiSN(Zeta[2]*psi))/(varepsilon[3]*jacobiCN(Zeta[3]*psi)+varepsilon[4]*jacobiSN(Zeta[4]*psi)) end proc

 (3)
> 

 

> 

NULL

fin1 := simplify(eq1)

kappa[0]*(gamma*rho[3]^2*(rho[1]+2*rho[3])*kappa[0]^2-3*gamma*rho[2]^2+4*omega*rho[3]^2)

 (4)

Sol := solve(fin1, {omega, Zeta[1], Zeta[2], Zeta[3], Zeta[4], epsilon[1], epsilon[2], epsilon[3], epsilon[4], h[1], kappa[0], kappa[1]})

{omega = omega, Zeta[1] = Zeta[1], Zeta[2] = Zeta[2], Zeta[3] = Zeta[3], Zeta[4] = Zeta[4], h[1] = h[1], kappa[0] = 0, kappa[1] = kappa[1], varepsilon[1] = varepsilon[1], varepsilon[2] = varepsilon[2], varepsilon[3] = varepsilon[3], varepsilon[4] = varepsilon[4]}, {omega = -(1/4)*gamma*(kappa[0]^2*rho[1]*rho[3]^2+2*kappa[0]^2*rho[3]^3-3*rho[2]^2)/rho[3]^2, Zeta[1] = Zeta[1], Zeta[2] = Zeta[2], Zeta[3] = Zeta[3], Zeta[4] = Zeta[4], h[1] = h[1], kappa[0] = kappa[0], kappa[1] = kappa[1], varepsilon[1] = varepsilon[1], varepsilon[2] = varepsilon[2], varepsilon[3] = varepsilon[3], varepsilon[4] = varepsilon[4]}

 (5)
> 

for i to 2 do Case[i] := allvalues(Sol[i]) end do

{omega = omega, Zeta[1] = Zeta[1], Zeta[2] = Zeta[2], Zeta[3] = Zeta[3], Zeta[4] = Zeta[4], h[1] = h[1], kappa[0] = 0, kappa[1] = kappa[1], varepsilon[1] = varepsilon[1], varepsilon[2] = varepsilon[2], varepsilon[3] = varepsilon[3], varepsilon[4] = varepsilon[4]}

  

{omega = -(1/4)*gamma*(kappa[0]^2*rho[1]*rho[3]^2+2*kappa[0]^2*rho[3]^3-3*rho[2]^2)/rho[3]^2, Zeta[1] = Zeta[1], Zeta[2] = Zeta[2], Zeta[3] = Zeta[3], Zeta[4] = Zeta[4], h[1] = h[1], kappa[0] = kappa[0], kappa[1] = kappa[1], varepsilon[1] = varepsilon[1], varepsilon[2] = varepsilon[2], varepsilon[3] = varepsilon[3], varepsilon[4] = varepsilon[4]}

 (6)

NULL

NULL

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