1. Tardigrade
  2. Question
  3. Mathematics
  4. If y(x) be the solution of differential equation x log x (d y/d x)+y=2 x log x, y(e) is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $y(x)$ be the solution of differential equation $x \log x \frac{d y}{d x}+y=2 x \log x, y(e)$ is equal to

KCETKCET 2022Differential Equations

Solution:

$I . F=\log x$,
$y \log x=2 x(\log x-1)+c$
If $x=e$ then $y=c$ then $y(e)=2 e$