| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2020 |
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| Session | June |
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| Topic | First order differential equations (integrating factor) |
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7 The variables \(x\) and \(y\) satisfy the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { y - 1 } { ( x + 1 ) ( x + 3 ) }$$
It is given that \(y = 2\) when \(x = 0\).
Solve the differential equation, obtaining an expression for \(y\) in terms of \(x\).