Q.11 What is the order of the differential equation given below?
d^2y/dx^2 – 6x = 3x^4 – 2x^3 + 2
Correct Answer Explanation
The equation contains d2y/dx2 as the highest derivative, which is order 2, while the right side involves only polynomial terms in x with no higher derivatives. No rearrangement changes this, as order depends solely on the derivative’s superscript. Thus, option (B) 2 is correct.
Why Not Other Options?
- Option (A) 1: Applies to first-order equations like dy/dx + y = x, where only the first derivative appears; here, second derivative exists.
- Option (C) 3: Requires a third derivative like d3y/dx3; absent in this equation.
- Option (D) 4: Needs fourth derivative like d4y/dx4; no such term present.
