The general solution of the differential equation (x2 + 2)dy... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

The general solution of the differential equation (x2 + 2)dy +2xydx = ex(x2+2)dx is

A

$\frac{x}{y}=e^x(x^2+x-4)+c$

B

2xy = ex(x2-2x+4)+c

C

(x2+2)y=ex(x2-2x+4)+c

D

(x2+2)2y = ex(x2+2x-4)+c

Answer

(x2+2)y=ex(x2-2x+4)+c

Explanation

Solution

The correct option is(C) (x2+2)y=ex(x2-2x+4)+c