Consider the Passport Option V $=$ V $($S$,,$ t$)$ which satisfies the following:Vt $+122$S$22$VS$2+$ q$2$S$22$VS $+12$q$22$S$22$V$2+$ rSVS $+$ rV rV $=0.$Show that the similarity transformation of the form V $($S$,,$ t$)=$ SH$(,$ t$)$ where $=/$S reduces this equation toHt $+122($ q$)22$H$2=0.$