Skip to content
CalcGospel 國際數學圖譜
返回

IAL 2021 Oct Q4

A Level / Edexcel / FP2

IAL 2021 Oct Paper · Question 4

(a) Determine the general solution of the differential equation

(x+1)dydxxy=e3xx>1\begin{align*} (x + 1) \frac{\mathrm{d}y}{\mathrm{d}x} - xy =\,& \mathrm{e}^{3x} \qquad x > -1\\[2mm] \end{align*}

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

(7)

(b) Determine the particular solution of the differential equation for which y=5y = 5 when x=0x = 0 .

(2)