COMEDK · Maths · 32. Differential Equations
The order and degree of the differential equation \(\left[1+\left(\frac{d y}{d x}\right)^{5}\right]^{\frac{1}{3}}=\frac{d^{2} y}{d x^{2}}\) are respectively
- A 2,1
- B 1,5
- C 2,3
- D 2,5
Answer & Solution
Correct Answer
(C) 2,3
Step-by-step Solution
Detailed explanation
We have, \[ \left[1+\left(\frac{d y}{d x}\right)^{5}\right]^{1 / 3}=\frac{d^{2} y}{d x^{2}} \Rightarrow\left(\frac{d^{2} y}{d x^{2}}\right)^{3}=1+\left(\frac{d y}{d x}\right)^{5} \] \(\therefore\) Order \(=2\) and degree \(=3\)
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