Find integrating factor and solve the equation

  • Thread starter naspek
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  • #1
naspek
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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...
 

Answers and Replies

  • #2
vela
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Try dividing by x instead.
 
  • #3
naspek
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Try dividing by x instead.
which part?
 
  • #4
vela
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Instead of multiplying the equation by your integration factor, divide by it instead.
 
  • #5
naspek
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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..
 

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