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Methods in Algebra and Calculus

Quick questions on Second-order differential equations: auxiliary equation and particular integral - SQA Advanced Higher Maths

3short 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 trial integral clashing with the complementary function?
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If your trial ypy_p already appears in ycy_c, multiply it by xx before substituting, or it cannot work.
What is q1?
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Write the general solution form if the auxiliary equation has roots m=−1±3im = -1 \pm 3i. [2 marks]
What is q2?
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Find the auxiliary equation of d2ydx2+2dydx+y=0\dfrac{d^2y}{dx^2} + 2\dfrac{dy}{dx} + y = 0 and its root. [2 marks]

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