If cos⁻¹(y/2) = logₑ(x/5)⁵....... | JEE Main 2022

JEE MAIN 2022

27-06-2022 S1

Question

If $\cos ^{-1}\left(\frac{y}{2}\right)=\log _e\left(\frac{x}{5}\right)^5,|y|<2$, then :

Select the correct option:

$x^2 y^{\prime \prime}+x y^{\prime}-25 y=0$

$x^2 y^{\prime \prime}-x y^{\prime}-25 y=0$

$x^2 y^{\prime \prime}-x y^{\prime}+25 y=0$

$x^2 y^{\prime \prime}+x y^{\prime}+25 y=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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