The solution of the differential equation {x4+6x2+2(x+y)} dx... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The solution of the differential equation
{x4+6x2+2(x+y)} dx-xdy=0
subject to the condition y(1)=0 is

A

2y(x)=x2+x4(6log|x|-3)+4x

B

y(x)= $\frac{1}{2}$ [x2+x4(12log|x|+3)+4x]

C

y(x)=x4+x2(12log|x|+3)-4x

D

2y(x)=x4+x2(12log|x|+3)-4x

Answer

2y(x)=x4+x2(12log|x|+3)-4x

Explanation

Solution

The correct answer is(D): 2y(x)=x4+x2(12log|x|+3)-4x