| Exam Board | SPS |
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| Module | SPS FM Pure (SPS FM Pure) |
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| Year | 2023 |
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| Session | February |
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| Topic | First order differential equations (integrating factor) |
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10. (a) Find the general solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + \frac { 2 y } { x } = \frac { x + 3 } { x ( x - 1 ) \left( x ^ { 2 } + 3 \right) } \quad ( x > 1 )$$
(b) Find the particular solution for which \(y = 0\) when \(x = 3\).
Give your answer in the form \(y = f ( x )\).
[0pt]
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