What is the integrating factor of dy/dx + y = e^-x?

Homogeneous & Linear Differential Equations · Question 63 of 120

Question 63

EasyOriginal question

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

e^{- x}

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x

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e^{x}

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1

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$e^{-x}$ is $Q$ , the right-hand side; the factor comes from $P = 1$ .

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

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