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GUJCET · Maths · Differential Equations
The degree of the differential equation \(\left(1+\frac{d y}{d x}\right)^{\frac{1}{2}}=\left(\frac{d^2 y}{d x^2}\right)^{1 / 3}\) is ___________ .
- A 4
- B 2
- C 3
- D 1
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\( \left[\left(1+\frac{d y}{d x}\right)^{\frac{1}{2}}\right]^6=\left[\left(\frac{d^2 y}{d x^2}\right)^{1 / 3}\right]^6 \) \( \left(1+\frac{d y}{d x}\right)^3=\left(\frac{d^2 y}{d x^2}\right)^2 \)
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