Q.1 (B) (iii) The integrating factor (I.F.) of dy/dx+y=e^(-x) is e^x.

Answer: True The equation is of the form dy/dx+Py=Q with P=1. I.F. =e^(∫ P dx)=e^(∫ 1 dx)=e^x.

The integrating factor (I.F.) of \(\frac{dy}{dx}+y=e^{-x}\) is \(e^x\).

Q.1 (B) (iii) The integrating factor (I.F.) of \(\frac{dy}{dx}+y=e^{-x}\) is \(e^x\).

Doubtly Asked 29 Oct 2026 Board exam · July 2025 hsc 12th Save WhatsApp Report

Best answer

Answer: True

The equation is of the form \(\frac{dy}{dx}+Py=Q\) with \(P=1\). I.F. \(=e^{\int P\,dx}=e^{\int 1\,dx}=e^x\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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