If the order and the degree of the given differential equation is a and b respectively, find the value of 2(a + b).

\(\sin \left( {\frac{y}{x}} \right){\left( {\frac{{{d^3}y}}{{d{x^3}}}} \right)^{3/2}} - \left( {14{x^2}y + 9} \right){\left( {\frac{{dy}}{{dx}}} \right)^4} = 9x{\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)^4}\)