| Exam Board | OCR MEI |
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| Module | Further Pure Core (Further Pure Core) |
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| Year | 2020 |
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| Session | November |
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| Topic | Second order differential equations |
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14 Solve the simultaneous differential equations
\(\frac { \mathrm { d } x } { \mathrm {~d} t } + 2 x = 4 y , \quad \frac { \mathrm {~d} y } { \mathrm {~d} t } + 3 x = 5 y\),
given that when \(t = 0 , x = 0\) and \(y = 1\).