Quick questions on First-order differential equations: separable and integrating factor - 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 a wrong integrating factor?

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I = e^{\int P\,dx}

, and you must put the equation in the standard form

\dfrac{dy}{dx} + P(x)y = Q(x)

first, so the coefficient of

\dfrac{dy}{dx}

1

What is q1?

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Solve

\dfrac{dy}{dx} = 3y

. [2 marks]

What is q2?

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Find the integrating factor for

\dfrac{dy}{dx} + \dfrac{1}{x}y = 1

x > 0

. [2 marks]

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