JEE Main & Advanced
Mathematics
Differential Equations
Question Bank
Critical Thinking
question_answer
The order and degree of the differential equation \[{{\left( 1+3\frac{dy}{dx} \right)}^{\frac{2}{3}}}=4\frac{{{d}^{3}}y}{d{{x}^{3}}}\] are [AIEEE 2002]
A)\[1,\,\frac{2}{3}\]
B)3, 1
C)3, 3
D)1, 2
Correct Answer:
C
Solution :
To check, order and degree, the given differential equation should be free from radicals, hence taking cube on both sides, \[{{\left( 1+3.\frac{dy}{dx} \right)}^{2}}={{\left( 4.\frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}^{3}}\]