Chapter 3, Problem 3.77P

Consider the parallel inductors shown in Figure P3.67, with mutual coupling and the dots at the top ends of $L_1$ and $L_2$. Derive an expression for the equivalent inductance seen by the source in terms of $L_1$, $L_2$, and M. [Hint: Write the circuit equations and manipulate them to obtain an expression of the form $v\left(t\right)=L_{eq}di\left(t\right)/dt$ in which $L_{eq}$ is a function of $L_1$, $L_2$, and M.]