Q.1 (A) (vi) The integrating factor of the differential equation dy/dx+y/x=x³-3 is A. log x B. e^x C. 1/x D. x

Answer: D. x Answer: (d) x Comparing with dy/dx+Py=Q , P=1/x . I.F. =e^(∫ P dx)=e^(log x)=x .

The integrating factor of the differential equation \(\frac{dy}{dx}+\frac{y}{x}=x^3-3\) is

Q.1 (A) (vi) The integrating factor of the differential equation \(\frac{dy}{dx}+\frac{y}{x}=x^3-3\) is

A. \(\log x\)

B. \(e^x\)

C. \(\frac{1}{x}\)

D. \(x\)

Doubtly Asked 28 Oct 2026 Board exam · March 2025 hsc 12th Save WhatsApp Report

Best answer

Answer: D. \(x\)

Answer: (d) \(x\)

Comparing with \(\frac{dy}{dx}+Py=Q\), \(P=\frac{1}{x}\). I.F. \(=e^{\int P\,dx}=e^{\log x}=x\).

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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