The solution of the differential equation ` (dy)/(dx)= x log x ` is

Options

A. ` y=x^(2)logx-(x^(2))/2 +C`
B. `y=(x^(2))/x log x-(x^(2))/4+C`
C. `y = (x^(2))/2+(x^(2))/2 log x +C`
D. None of these

Answer

c

Explanation

Given `dy = x log x dx`
On integrating both sides , we get
` rArr y = (x^(2))/2 log x - int x/2 dx `
` rArr y = (x^(2))/2 logx - (x^(2))/4 +C`