why Maple gives same solution for two different equations?

Maple gives same solution for two different equations.

eq1 := 1/5*sqrt(-20*y + 1) - 1/5*ln(1 + sqrt(-20*y + 1)) = x + 2;
eq2 := -1/5*sqrt(-20*y + 1) - 1/5*ln(1 - sqrt(-20*y + 1)) = x + 2;

Solving these for y, gives same exact solution. But this is not correct. As this worksheet shows.

Is this a bug? How could two different equations give same solution?

Image may be NSFW.
Clik here to view. 15172

>	interface(version);

Image may be NSFW.
Clik here to view. `Standard Worksheet Interface, Maple 2024.0, Windows 10, March 01 2024 Build ID 1794891`

Case 1. Solve first then plugin x value in solution

>	eq1:=(sqrt(a^2 - 4by) - aln(a + sqrt(a^2 - 4by)))/b=x+c__1; eq2:=(-sqrt(a^2 - 4by) - aln(a - sqrt(a^2 - 4by)))/b=x+c__1; eq1:=eval(eq1,[a=1,b=5,c__1=2]); eq2:=eval(eq2,[a=1,b=5,c__1=2]);

Image may be NSFW.
Clik here to view. ((a^2-4*b*y)^(1/2)-a*ln(a+(a^2-4*b*y)^(1/2)))/b = x+c__1

Image may be NSFW.
Clik here to view. (-(a^2-4*b*y)^(1/2)-a*ln(a-(a^2-4*b*y)^(1/2)))/b = x+c__1

Image may be NSFW.
Clik here to view. (1/5)*(-20*y+1)^(1/2)-(1/5)*ln(1+(-20*y+1)^(1/2)) = x+2

Image may be NSFW.
Clik here to view. -(1/5)*(-20*y+1)^(1/2)-(1/5)*ln(1-(-20*y+1)^(1/2)) = x+2

>	sol1:=simplify(solve(eq1,y));

Image may be NSFW.
Clik here to view. -(1/20)*LambertW(-exp(-11-5*x))*(LambertW(-exp(-11-5*x))+2)

>	sol2:=simplify(solve(eq2,y));

Image may be NSFW.
Clik here to view. -(1/20)*LambertW(-exp(-11-5*x))*(LambertW(-exp(-11-5*x))+2)

>	eval(sol1,x=10.);

Image may be NSFW.
Clik here to view. 0.3221340286e-27

>	eval(sol2,x=10.);

Image may be NSFW.
Clik here to view. 0.3221340286e-27

Case 2. Plugin in same x value in equation and then solve, we get different answers

>	eq1:=(sqrt(a^2 - 4by) - aln(a + sqrt(a^2 - 4by)))/b=x+c__1; eq2:=(-sqrt(a^2 - 4by) - aln(a - sqrt(a^2 - 4by)))/b=x+c__1; eq1:=eval(eq1,[a=1,b=5,c__1=2,x=10]); eq2:=eval(eq2,[a=1,b=5,c__1=2,x=10]);

Image may be NSFW.
Clik here to view. ((a^2-4*b*y)^(1/2)-a*ln(a+(a^2-4*b*y)^(1/2)))/b = x+c__1

Image may be NSFW.
Clik here to view. (-(a^2-4*b*y)^(1/2)-a*ln(a-(a^2-4*b*y)^(1/2)))/b = x+c__1

Image may be NSFW.
Clik here to view. (1/5)*(-20*y+1)^(1/2)-(1/5)*ln(1+(-20*y+1)^(1/2)) = 12

Image may be NSFW.
Clik here to view. -(1/5)*(-20*y+1)^(1/2)-(1/5)*ln(1-(-20*y+1)^(1/2)) = 12

>	sol1:=evalf(solve(eq1,y));

Image may be NSFW.
Clik here to view. -205.8850616

>	sol2:=evalf(solve(eq2,y));

Image may be NSFW.
Clik here to view. 0.3221340286e-27

Download different_equations_give_same_solution_june_12_2024.mw

why Maple gives same solution for two different equations?

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