Solve the 1-Dimensional heat equation for the conduction of heat along the rod without radiation with conditions: i) u(x

[answerhappygod]

a) U(x,t) =\(\frac{l^2}{3}/2 + ∑cos⁡(\frac{nπx}{l}) e^{\frac{-c^2 n^2 π^2 t}{l^2}} \frac{-4l^2}{(2m)^2+π^2} \)
b) U(x,t) =\(\frac{l^2}{3} + ∑cos⁡(\frac{nπx}{l}) e^{\frac{-c^2 n^2 π^2 t}{l^2}} \frac{-4l^2}{(2m)^2+π^2} \)
c) U(x,t) =\(\frac{l^2}{3} + ∑cos⁡(\frac{nπx}{l}) e^{\frac{-c^2 n^2 π^2 t}{l^2}} \frac{4l^2}{(2m)^2+π^2} \)
d) U(x,t) =\(\frac{l^2}{3}/2 + ∑cos⁡(\frac{nπx}{l}) e^{\frac{-c^2 n^2 π^2 t}{l^2}} \frac{4l^2}{(2m)^2+π^2} \)