AP EAMCET · Maths · Differential Equations
The integrating factor of \(x \frac{d y}{d x}+3 y=x^2\) is
- A \(\frac{3}{x}\)
- B \(\log x\)
- C \(x^3\)
- D \(x\)
Answer & Solution
Correct Answer
(C) \(x^3\)
Step-by-step Solution
Detailed explanation
Given equation is, \(x \frac{d y}{d x}+3 y=x^2 \text { or } \frac{d y}{d x}+\frac{3}{x} \cdot y=x\) Comparing with, \(\frac{d y}{d x}+P y=Q,\) We have \(p=\frac{3}{x}\) and So, the integrating factor is,…
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