The general solution of the differential equation 4xy+12x+(2... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The general solution of the differential equation 4xy+12x+(2x2+3)y' = 0 is

A

$\frac{2x^2+3}{y+3}=C$

B

$\frac{y-3}{2x^2+3}=C$

C

$\frac{y+2}{2x^2+3}=C$

D

(y-3)(2x2+3)=C

E

(y+3)(2x2+3)=C

Answer

(y+3)(2x2+3)=C

Explanation

Solution

The correct option is (E): (y+3)(2x2+3)=C