Question Detail
Question
The differential equation (y'')2 + (y')3 - 3xy' = 2y is of order _____.
Correct Answer
Option B is the correct answer.
Detailed Explanation
The order of a differential equation is the order of the highest derivative present in the equation.In the given differential equation (y'')2 + (y')3 - 3xy' = 2y:- The term (y'')2 involves the second derivative (y'').- The term (y')3 involves the first derivative (y').- The term -3xy' also involves the first derivative (y').The highest order derivative present is y'' (second derivative).Therefore, the order of the differential equation is 2.
Hint
The order of a differential equation is determined by the highest derivative present in the equation.