Techniques of Differentiation - Derivatives of Inverse Trigonometric Functions
Techniques of Differentiation - Derivatives of Inverse Trigonometric Functions
Given that \(y = e^{\tan^{-1}x}\), show that \((1 + x^{2})\frac{\mathrm{d}^{2}y}{\mathrm{d}x^{2}} + (2x - 1)\frac{\mathrm{d}y}{\mathrm{d}x} = 0\).
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Answer:\((1+x^2)y''+(2x-1)y'=0\)
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