use Euler's method for the IVP and solve the shooting method by hand

$27\mathrm{.}1$ A steady$-$state heat balance for a rod can be represented as

$\frac{d^{2}T}{d{x}^2}-0\mathrm{.}15T=0$

Obtain an analytical solution for a $10-m$ rod with $T(0)=240$ and $T(10)=150.$

$27\mathrm{.}2$ Use the shooting method to solve Prob. $27\mathrm{.}1.$