CUET · MATHS · PYQ PAPER 2023
The order and degree of the differential equation \(\left(1+3 \frac{d y}{d x}\right)^{\frac{2}{3}}=4 \frac{d^3 y}{d x^3}\) respectively are:
- A \(3, \frac{2}{3}\)
- B 3,1
- C 3,2
- D 3,3
Answer & Solution
Correct Answer
(D) 3,3
Step-by-step Solution
Detailed explanation
Highest order derivative is \( \frac{d^3 y}{d x^3} \). Order = 3. To find degree, eliminate fractional power: \( \left(1+3 \frac{d y}{d x}\right)^{\frac{2}{3}}=4 \frac{d^3 y}{d x^3} \) Cube both sides: \( \left(1+3 \frac{d y}{d x}\right)^2=\left(4 \frac{d^3 y}{d x^3}\right)^3 \)…
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