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If the I.F. of the differential equation $\frac{d y}{d x}+5 y$ $=\cos x$ is $\int \mathrm{e}^{\mathrm{Adx}}$, then $\mathrm{A}=$
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5
The I.F. of the differential equation
$\frac{d y}{d x}+P y=Q$ is $e^{\int P d x} .$ Here $P=5$ therefore
I.F. $={ }_{\mathrm{e}} \int 5 \mathrm{dx} .$ Hence $\mathrm{A}=5$
$\frac{d y}{d x}+P y=Q$ is $e^{\int P d x} .$ Here $P=5$ therefore
I.F. $={ }_{\mathrm{e}} \int 5 \mathrm{dx} .$ Hence $\mathrm{A}=5$
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