What is the integrating factor of : y' -

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

What is the integrating factor of : y' - y = Cos x ?

Options:

e^x

e^-x

log x

-log x

Correct Answer:

e^-x

Explanation:

y' - y = Cos x

Compare with : y' - yP(x) = Q(x)

Integrating factor : e^{\(\int_{}^{}d\)x P} = e-^{\(\int_{}^{}d\)x}= e^-x