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Differential Equations

Quick questions on Systems of differential equations explained: H2 Further Mathematics

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is algebra slips in the substitution?
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Differentiating and substituting is error-prone; keep terms organised and multiply out carefully to reach the clean second-order equation.
What is q1?
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What is the first step in solving a coupled linear system by reduction? [1 mark]
What is q2?
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When you recover the second variable, why are no new constants introduced? [2 marks]
What is q3?
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The system x˙=y\dot{x} = -y, y˙=x\dot{y} = x reduces to which second-order equation in xx? [1 mark]

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