Limits, Continuity & Differentiability
Methods of Differentiation
Grade 12
Question:
<p>[Bonus/Extra question from JEE Main 2022 set — verify in source] If $2\sin\theta = e^x + e^{-x}$, find $\dfrac{d^2y}{dx^2} + n^2y = 0$ type ODE verification. [Intentionally left for manual verification]</p>
<p>Verify from source PDF</p>
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Step-by-Step Solution
Key Concept: General
<b>Note:</b> This question slot corresponds to answer key position Q20 in the JEE Main PYQ section where the answer was unclear/blank in the source module. Please cross-reference with the original PDF page 72-73 for the exact question text.<br>
<b>Key concept:</b> Standard approach for $y = \sin^{-1}(e^x)$ or similar: use implicit differentiation to derive a second-order ODE of the form $y''\pm k^2y=0$.
Correct Answer: N/A