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IAL 2022 Oct Q6

A Level / Edexcel / FP2

IAL 2022 Oct Paper · Question 6

Obtain the general solution of the equation

x2dydx+(xcotx+2)xy=4sinx0<x<π\begin{align*} x^2\frac{\mathrm{d}y}{\mathrm{d}x} + (x\cot x+2)xy =\,& 4\sin x \qquad 0 < x < \pi\\[2mm] \end{align*}

Give your answer in the form y=f(x)y = \mathrm{f}(x)

(8)