MHT CET · Maths · Differential Equations
The order and degree of the differential equation \(\left[1+\left[\frac{d y}{d x}\right]^{3}\right]^{\frac{7}{3}}=7 \frac{d^{2} y}{d x^{2}}\) are respectively.
- A 2,1
- B 2,3
- C 1,2
- D 3,2
Answer & Solution
Correct Answer
(B) 2,3
Step-by-step Solution
Detailed explanation
(D)
We have \(\left[1+\left[\frac{d y}{d x}\right]^{3}\right]^{\frac{7}{3}}=7 \cdot \frac{d^{2} y}{d x^{2}}\)
Cubing both sides, we get
\(\left[1+\left[\frac{d y}{d x}\right]^{3}\right]^{7}=7\left[\frac{d^{2} y}{d x^{2}}\right]^{3}\)
Hence order is 2 and degree is \(3 .\)
We have \(\left[1+\left[\frac{d y}{d x}\right]^{3}\right]^{\frac{7}{3}}=7 \cdot \frac{d^{2} y}{d x^{2}}\)
Cubing both sides, we get
\(\left[1+\left[\frac{d y}{d x}\right]^{3}\right]^{7}=7\left[\frac{d^{2} y}{d x^{2}}\right]^{3}\)
Hence order is 2 and degree is \(3 .\)
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