VITEEE 2018 Paper

y = cx + c2−3c3∕2 + 2 ... (i)
Differentiating above with respect to x, we get

dy

dx

= c
Putting this value of c in (i), we get
y = x

dy

dx

+ (

dy

dx

)2 - 3 (

dy

dx

)3∕2 + 2
Clearly its order is ONE and after removing the fractional power we get the degree FOUR.