Question

G find the general solution of the given differential equation. y' + 6x5y = x5

Answer 1

$y'+6x^5y=x^5$
$e^{x^6}y'+6x^5e^{x^6}y=x^5e^{x^6}$
$\left(e^{x^6}y\right)'=x^5e^{x^6}$
$e^{x^6}y=\dfrac16e^{x^6}+C$
$y=\dfrac16+Ce^{-x^6}$