What is the integrating factor of dy/dx + 2/xy = x?

Homogeneous & Linear Differential Equations · Question 61 of 120

Question 61

EasyOriginal question

What is the integrating factor of $\frac{dy}{dx} + \frac{2}{x}y = x$ ?

2 \log x

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x

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x^{2}

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e^{2 x}

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$2\log x$ is $\int P\,dx$ ; the factor is $e$ raised to it, $x^{2}$ .

Ten questions from Homogeneous & Linear Differential Equations, at your own pace.

Ten questions from Homogeneous & Linear Differential Equations, at your own pace.