Chapter 4, Problem 4.7HP

In the circuit shown in Figure P4.7, assume $R=2\Omega$ and $C=0.1F$ . Also, let:
$v\left(t\right)=\{\begin{array}{cc}0& \text{for}-\infty <t<0\\ t& \text{for}0\le t<10s\\ 10& \text{for}10s\le t<\infty \end{array}$

Find the energy stored in the inductor for all time.