Question: allsolutions of an equation with parameters

guys, i have this equation which a, n, c, phi[0] are parameters and r is variable. maple solved this equation with n=0,c=c,phi[0]=5/4-1/4 c but i obtained another solution for this equation : a = 1, c = 5, n = 1, phi[0] = 1 ( you can check). 

 

restart

odesys := {5*r^a+4*n-c*r^n-4*phi[0]}

{5*r^a+4*n-c*r^n-4*phi[0]}

(1)

res := op(odesys);

5*r^a+4*n-c*r^n-4*phi[0]

(2)

 

SOL := solve(identity(res = 0, r), [a, n, c, phi[0]]);

[[a = 0, n = 0, c = c, phi[0] = 5/4-(1/4)*c]]

(3)

NULL

eval(5*r^a+4*n-c*r^n-4*phi[0], [a = 1, c = 5, n = 1, phi[0] = 1])

0

(4)

NULL


how can i get all solutions for a equation like this ?

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