JEE Main & Advanced
Mathematics
Differential Equations
Question Bank
Order and degree of differential equations
question_answer
The order and degree of the differential equation \[x\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}+{{y}^{2}}=0\] are respectively [Karnataka CET 2001]
A) 2 and 2
B) 1 and 1
C) 2 and 1
D) 1 and 2
Correct Answer:
C
Solution :
Order and degree of given differential equation will be 2 and 1 respectively.