Answer:

And if we find the temperature for x=0 we got:


Figure attached.
Step-by-step explanation:
For this case we can use the Heat equation given by:
(1)
Since we have all the hest in one dimension. The boundary conditions for this case are:


If we integrate the equation (1) we got:

And if we integreate again we got:


Where
are constants. Now we can apply the boundary conditions:
so then the constant
would be:

Using the second boundary condition we have:


And then our general solution would be given by:

Taking common factor we got:

And if we find the temperature for x=0 we got:


And the figure is on the plot attached.