Find integrating factor and solve the equation

[naspek]

y dx + x ln x dy = 0 ; x > 0


my integrating factor is x..


so.. multiply with DE,


xy dx + x^2 ln x dy = 0


let M = xy ; N = x^2 ln x


dM/dy = x ; dN/dx = x + 2x ln x


the problem is.. i didn't get the exact equation after multiply the integrating factor.. I've double checked my integrating factor.. but.. still can't get the exact equation...

 

[vela]

Try dividing by x instead.

 

[naspek]

Try dividing by x instead.

which part?

 

[vela]

Instead of multiplying the equation by your integration factor, divide by it instead.

 

[naspek]

Instead of multiplying the equation by your integration factor, divide by it instead.

wow! i got it! but.. i never divide DE by integrating factor..
always multiply..