| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2010 |
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| Session | June |
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| Topic | Differential equations |
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4 Given that \(x = 1\) when \(t = 0\), solve the differential equation
$$\frac { \mathrm { d } x } { \mathrm {~d} t } = \frac { 1 } { x } - \frac { x } { 4 } ,$$
obtaining an expression for \(x ^ { 2 }\) in terms of \(t\).