Problem 14 $2y \, dx = 3x \, dy$
Solution 14
$2\dfrac{dx}{x} = 3\dfrac{dy}{y}$
$2\ln x = 3\ln y + \ln c$
$\ln x^2 = \ln y^3 + \ln c$
$\ln x^2 = \ln cy^3$
$x^2 = cy^3$ answer
Problem 15 $my \, dx = nx \, dy$
Solution 15
$m\dfrac{dx}{x} = n\dfrac{dy}{y}$
$m\ln x = n\ln y + \ln c$
$\ln x^m = \ln y^n + \ln c$
$\ln x^m = \ln cy^n$
$x^m = cy^n$ answer
Follow @iMATHalino
MATHalino