AP EAMCET · Maths · Differential Equations
If \(y=\left(\tan^{-1} 2 x\right)^2+\left(\cot ^{-1} 2 x\right)^2\), then \(\left(1+4 x^2\right)^2 y^{\prime \prime}-16=\)
- A \(8 x y^{\prime}\)
- B \(-8 x\left(1+4 x^2\right) y^{\prime}\)
- C \(8 x\left(1+4 x^2\right) y^{\prime}\)
- D \(-8 x y^{\prime}\)
Answer & Solution
Correct Answer
(B) \(-8 x\left(1+4 x^2\right) y^{\prime}\)
Step-by-step Solution
Detailed explanation
\(y=\left(\tan ^{-1} 2 x\right)^2+\left(\cot ^{-1} 2 x\right)^2\)…
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