Subjective Type Questions \( \mathrm{P} \) W If \( y^{2}=a x^{2}+2 ...

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Subjective Type Questions
\( \mathrm{P} \)
W
If \( y^{2}=a x^{2}+2 b x+c \), and \( u_{n}=\int \frac{x^{n}}{y} d x \), prove that
\( (n+1) a u_{n+1}+(2 n+1) b u_{n}+\boldsymbol{n} \boldsymbol{y}_{n-1}=x^{n} y \) and deduce
thai \( a u_{1}=y-b u_{0} ; 2 a^{2} u_{2}=y(a x-3 b)-\left(a c-3 b^{2}\right) u_{0} \).
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