NDA2024MathematicsDifferential EquationsActual
What are the order and degree respectively of the differential equation 2- ( d y d x )^2 ^ 0.6 = d^2 y d x^2 ?
Options
- A2,2
- B2,3
- C5,2
- D2,5
Correct answer
D. 2,5
Step-by-step solution
2- ( d y d x )^2 ^ 0.6 = d^2 y d x^2 Removing decimal power/fraction power both sides 2- ( d y d x )^2 ^ 3 / 5 = ( d^2 y d x^2 )^5 Raise power of 5 both sides aligned & 2- ( d y d x )^2 ^ 3 5 5 = ( d^2 y d x^2 )^5 & 2- ( d y d x )^2 ^3= ( d^2 y d x^2 )^5 aligned Hence, aligned Order & =2 Power & =5 aligned