Quick questions on Differential equations: integrating factor and second order methods - Edexcel A-Level Further Maths

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 sign of the damping exponent?

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Decaying oscillations need

p < 0

e^{px}

; a positive

p

means the amplitude grows.

What is q1?

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Find the integrating factor for

\dfrac{dy}{dx} + 2y = e^x

. [2 marks]

What is q2?

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Write the complementary function when the auxiliary roots are

-1 \pm 2i

. [2 marks]

What is q3?

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Find a particular integral of

\dfrac{d^2y}{dx^2} + y = 6

. [3 marks]

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