The value of \(\oint \left( {4y - 3x} \right)dx + \left( {3x + 2y} \right)dy\) where ‘C’ is the curve passing through the point \(\left( {0,\;\sqrt 2 } \right)\) and satisfying the differential equation \(\frac{{dy}}{{dx}} = \frac{{ - 2x}}{y}\) is ________.
Enter numerical value using the virtual keypad. Round off where necessary.