Question

Решити задание x^2y´+y=0

Answer 1

$x^2y`+y=0\frac{x^2dy}{dx}=-y|*frac{dx}{x^2y}\frac{dy}{y}=-frac{dx}{x^2}\intfrac{dy}{y}=-intfrac{dx}{x^2}\ln|y|=frac{1}{x}+C\y=e^{frac{1}{x}+C}$