mdchennu mdchennu
  • 23-04-2017
  • Mathematics
contestada

(2+x)dy/dx=3y need help

Respuesta :

kettboy kettboy
  • 23-04-2017
[tex](2+x) \frac{dy}{dx} =3y[/tex]
[tex] \frac{1}{3y} dy= \frac{1}{2+x} dx[/tex]
[tex] \int { \frac{1}{3y} } \, dy = \int { \frac{1}{2+x} } \, dx [/tex]
[tex] \frac{1}{3}\ln(3y) = \ln(2+x) + C[/tex]
(raise both to the power e): [tex]e^{ \frac{1}{3}\ln(3y)}=e^{\ln(k(2+x))}[/tex]
[tex](3y)^ \frac{1}{3} =k(2+x)[/tex]
[tex]3y=k(2+x)^3[/tex]
[tex]y= k(2+x)^3[/tex]
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