NDA2020MathematicsDifferential EquationsActual
The order and degree of the differential equation k d y d x = [1+ ( d y d x )^2 ]^ 2 3 d x are respectively
Options
- A1 and 1
- B2 and 3
- C2 and 4
- D1 and 4
Correct answer
B. 2 and 3
Step-by-step solution
Given differential equation is k d y d x = [1+ ( d y d x )^2 ]^ 2 / 3 d x On differentiating both sides, we get aligned & k d^2 y d x^2 = [1+ ( d y d x )^2 ]^ 2 / 3 & (k d^2 y d x^2 )^3= [1+ ( d y d x )^2 ]^2 aligned Now, order of the D.E. =2 Degree of the D.E. =3 .