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REPEATER 2024 — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsREPEATER 20241 Mark
Question
Write the integrating factor (I.F.) of the differential equation $\frac{d y}{d x}+y=e^{-x}$.
✓

Answer

$\frac{d y}{d x}+y=e^{-x}$
This is a linear differential equation of the form $\frac{d y}{d x}+P y=Q$ where $P=1, Q=e^{-x}$ Integrating factor (I.F.) $=e^{\int
P . d x}=e^{\int d x}=e^x$

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