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Find integrating factor and solve the equation 2

  • Thread starter naspek
  • Start date
  • #1
181
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Question:

(1 - x - z)dx + dz = 0

let M = (1 - x - z) ; N = 1

dM/dz = -x ; dN/dx = 0
hence, not exact.

integrating factor...

1/N[ dM/dz - dN/dx ] = 1[-x]
.................................= -x

e^∫-x dx = e ^ [(-x^2)/2]


times integrating factor with DE..

{e ^ [(-x^2)/2] -x e ^ [(-x^2)/2] - z e ^ [(-x^2)/2]}dx +
e ^ [(-x^2)/2]dz = 0

dM/dz = -e ^ [(-x^2)/2] ; dN/dx = -xe ^ [(-x^2)/2]

the problem is, i calculated the integrating factor.. but, the equations still not the exact calculation.
 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
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let M = (1 - x - z)

dM/dz = -x
Did you forget how to differentiate?:wink:
 
  • #3
181
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Did you forget how to differentiate?:wink:
oh s#|t..!!
it should be -1
thanks gabbagabbahey
 

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