AP EAMCET · Maths · Differentiation
If \(\frac{d^n y}{d x^n}=y_n\) and \(y=e^{\sqrt{x}}+e^{-\sqrt{x}}\), then \(4 x y_2+2 y_1=\)
- A \(-\mathrm{y}\)
- B \(\mathrm{y}\)
- C \(2 y\)
- D \(-2 y\)
Answer & Solution
Correct Answer
(B) \(\mathrm{y}\)
Step-by-step Solution
Detailed explanation
\(y=e^{\sqrt{x}}+e^{-\sqrt{x}}\) \(y_1=e^{\sqrt{x}} \cdot \frac{1}{2 \sqrt{x}}\) \(-e^{-\sqrt{x}}\left(\frac{1}{2 \sqrt{x}}\right)\) \(y_1=\frac{1}{2 \sqrt{x}}\left(e^{\sqrt{x}}-e^{-\sqrt{x}}\right)\) ...(i)…
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