Mathematics · 2017
JEE Main · 9 April 2017, Shift 1 · Q71
If 2 x=y^(1/5)+y^-1/5 and (x^2-1) (d^2 y)/(d x^2)+λ x (d y)/(d x)+ k y=0, then λ+ k is equal to:
If $\displaystyle 2 x=y^{\frac{1}{5}}+y^{-\frac{1}{5}}$ and
$\displaystyle \left(x^2-1\right) \frac{\mathrm{d}^2 y}{\mathrm{~d} x^2}+\lambda x \frac{\mathrm{~d} y}{\mathrm{~d} x}+\mathrm{k} y=0$, then $\displaystyle \lambda+\mathrm{k}$ is equal to :
Official answer
(2)
$\displaystyle -24$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.