WBJEE · Maths · Differential Equations
If \(x=\sin \theta\) and \(y=\sin k \theta\), then \(\left(1-x^2\right) y_2-x y_1-\alpha y=0\), for \(\alpha=\)
- A \(\mathrm{k}\)
- B \(-\mathrm{k}\)
- C \(-\mathrm{k}^2\)
- D \(\mathrm{k}^2\)
Answer & Solution
Correct Answer
(C) \(-\mathrm{k}^2\)
Step-by-step Solution
Detailed explanation
Hint : \(x=\sin \theta\) \(y=\sin k \theta\) \(\frac{d y}{d x}=\frac{d y / d \theta}{d x / d \theta}=\frac{k \cos k \theta}{\cos \theta}=y_1 \ldots\ldots (I)\)…
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