The integrating factor of the differential equation \(\frac{dy}{dx}-y=x\) is _____.
Q.1 (C) (iii) The integrating factor of the differential equation \(\frac{dy}{dx}-y=x\) is _____.
Q.1 (C) (iii) The integrating factor of the differential equation \(\frac{dy}{dx}-y=x\) is _____.
Best answer
Answer: \(e^{-x}\)
Comparing with \(\frac{dy}{dx}+Py=Q\): \(P=-1\). So I.F. \(=e^{\int P\,dx}=e^{-x}\).
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