The curve \(C _ { 1 }\) has equation \(y = 3 \sinh 2 x\), and the curve \(C _ { 2 }\) has equation \(y = 13 - 3 \mathrm { e } ^ { 2 x }\).
Sketch the graph of the curves \(C _ { 1 }\) and \(C _ { 2 }\) on one set of axes, giving the equation of any asymptote and the coordinates of points where the curves cross the axes.
Solve the equation \(3 \sinh 2 x = 13 - 3 \mathrm { e } ^ { 2 x }\), giving your answer in the form \(\frac { 1 } { 2 } \ln k\), where \(k\) is an integer.