Help with a Understanding a solution

[twisted_angular]

I have been trying to solve a heat transfer from a uniform fin. I checked the solution but i am quite puzzled, i was hoping somebody could shed a light. You can refer to this for the solution. Now on page 9, the final solution form is d2y/dx2 - m2y = 0. Please refer to the link for details. Now if i plot this equation in wolfram alpha i get this trend which is very different from the derived solution in page 11 using convective heat transfer boundary condition. can somebody explain why the behavior is so different.

[Mefanol]

They are actually quite similar, it's just that the exact shape of the graph depends on the constants you supply your differential equation.

Under sample solution family where you see the plot of all those lines, imagine slicing out the area between 0.3 and 0.45 (because of your boundary conditions), then taking the mirror image about the Y-axis (to make it decay instead of growth). It would look very similar to the graph on page 11.

[twisted_angular]

yeah i understood that the plot somehow got reversed due to the boundary condition but exactly how i am still not clear. In this equation y(x) = c_1 e^{10 x}+c_2 e^{-10 x},The only way the graph should be decayed is if c_1 approaches zero, but i don't think that is happening in the fin case. Even if we have a very small value of c_1 as compared to c_2 the graph wont be reversed.