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SSC Pure Mathematics QUESTION #11188
Question 1
Integrating factor for $y' + \dfrac{4}{x}y = x^4$ is:
  • $x^4$✔️
  • $x\ln x^4$
  • $4\ln|x|$
  • $\ln|x|$
Correct Answer Explanation
For the linear ODE $y' + P(x)y = Q(x)$ with $P(x) = 4/x$, the integrating factor is $\mu = e^{\int P\,dx} = e^{\int 4/x\,dx} = e^{4\ln|x|} = |x|^4 = x^4$ (for $x > 0$).