bewellplus.gsu.edu
sajaleymily sajaleymily
  • 26-11-2016
  • Mathematics
Answered

Solve using integrating factor (x^5+3y)dx-xdy=0

tnx

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 02-12-2016

(x^5 + 3y)dx - xdy = 0
x^5 + 3y - xdy/dx = 0
3y - xdy/dx = -x^5
dy/dx - 3/x y = x^4

I.F. = e^∫(-3/x) = 1/x^3

(dy/dx)/x^3 - (3/x)y/x^3 = x^4/x^3
(dy/dx)/x^3 - 3/x^4 y = x
(1/x^3 y)' = x
∫(1/x^3 y)'dx = xdx
1/x^3 y = 1/2 x^2 + c
y = (x^5)/2 + cx^3

Answer Link

Related Questions

Which is the best example of a cultural value A Always look on the bright side B Make straight As in school C Find beauty in nature D Honor the elderly
how do you round 18194 to the tenths hundredths and ones
A subordinating conjunction is used to a take the place of a coordinating conjunction b separate two independent clauses c join a preposition and a noun or pron
Which is greater 3030 or 3003 ltgt
What is the connection between ratios fractions and percents Give an example with your answer
X23232 I cant figure the solution
The levels of usage can be classed as intimate conference frozen formal and casual context and usage advertising and professional
Which of the following results when forests are stripped of plant life deforestation acid rain sprawl increased population
what is Parabolic flight
in the role of an observer in the united states government write a report on the economic situation in Europe after world war 2