If the I.F. of the differential equation $\frac{\mathrm{dy}}{\mathrm{dx}}+5 \mathrm{y}=\cos x$ is $\int \mathrm{e}^{\mathrm{Adx}}$, then $\mathrm{A}=$

JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Understanding +4 | -1

If the I.F. of the differential equation

\frac{\mathrm{dy}}{\mathrm{dx}}+5 \mathrm{y}=\cos x

\int \mathrm{e}^{\mathrm{Adx}}

, then

\mathrm{A}=

View answer and explanation

Correct option: A

5 is correct because the integrating factor (I.F.) for the differential equation

\frac{{dy}}{{dx}} + 5y = \cos x

e^{\int 5 dx}

, so A = 5.

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