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