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Previous Year Question (PYQs)
2
If $2x = y^{\tfrac{1}{5}} + y^{-\tfrac{1}{5}}$ and
$(x^{2} - 1)\dfrac{d^{2}y}{dx^{2}} + \lambda x\dfrac{dy}{dx} + ky = 0$,
then $\lambda + k$ is equal to:
Solution
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