| Exam Board | Edexcel |
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| Module | P4 (Pure Mathematics 4) |
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| Year | 2021 |
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| Session | October |
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| Topic | Differential equations |
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2. Find the particular solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 4 y ^ { 2 } } { \sqrt { 4 x + 5 } } \quad x > - \frac { 5 } { 4 }$$
for which \(y = \frac { 1 } { 3 }\) at \(x = - \frac { 1 } { 4 }\) giving your answer in the form \(y = \mathrm { f } ( x )\)
(6)