MHT CET · Maths · Differential Equations
The integrating factor of \(\mathrm{y}+\frac{\mathrm{d}}{\mathrm{d} x}(x \mathrm{y})=x(\sin x+\log x)\) is
- A \(x\)
- B \(\log x^2\)
- C \(x^2\)
- D \(x^3\)
Answer & Solution
Correct Answer
(C) \(x^2\)
Step-by-step Solution
Detailed explanation
\(\frac{\mathrm{d}}{\mathrm{d} x}(x \mathrm{y})=\mathrm{y}+x \frac{\mathrm{d}\mathrm{y}}{\mathrm{d} x}\) \(\mathrm{y}+\mathrm{y}+x \frac{\mathrm{d}\mathrm{y}}{\mathrm{d} x}=x(\sin x+\log x)\)
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