Question

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

Answer 1

`(2+x) (dy)/(dx) =3y`

`(1)/(3y) dy= (1)/(2+x) dx`

`\int { (1)/(3y) } \, dy = \int { (1)/(2+x) } \, dx`

`(1)/(3)\ln(3y) = \ln(2+x) + C`
(raise both to the power e):
`e^{ (1)/(3)\ln(3y)}=e^(\ln(k(2+x)))`

`(3y)^ (1)/(3) =k(2+x)`

`3y=k(2+x)^3`

`y= k(2+x)^3`