A) \[\left( 1,\frac{2}{3} \right)\]
B) (3, 1)
C) (3, 3)
D) (1, 2)
Correct Answer: C
Solution :
The given differential equation is \[{{\left( 1+3\frac{dy}{dx} \right)}^{2/3}}=4\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)\] This equation can be rewritten as \[{{\left( 1+3\frac{dy}{dx} \right)}^{2}}=4{{\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}^{3}}\] This shows that the order and degree of given equation are 3 and 3 respectively.
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