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TS EAMCET · Maths · Differential Equations

The general solution of the differential equation \(\frac{d y}{d x}+\frac{y}{x}=x^2\) is

  1. A \(x y=\frac{x^2}{2}+c\)
  2. B \(x y=\frac{x^3}{3}+c\)
  3. C \(x y=\frac{x^4}{4}+c\)
  4. D \(x y=\frac{x^5}{5}+c\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(x y=\frac{x^4}{4}+c\)

Step-by-step Solution

Detailed explanation

\(\frac{d y}{d x}+\frac{y}{x}=x^2\)…