If y^(1/4) + y^(−1/4) = 2x, then (x²−1)d²y/dx²... | Differential Equations | JEE Main

JEE MAIN 2021

27-08-2021 S1

Question

If $y^{1 / 4}+y^{-1 / 4}=2 x$, and $\left(x^2-1\right) \frac{d^2 y}{d x^2}+\alpha x \frac{d y}{d t}+\beta y=0$, then $|\alpha-\beta|$ is equal to

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JEE Main

Mathematics

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