anonymous
  • anonymous
Solve the differential equation by separation of variables x(dy/dx)=4y
Mathematics
chestercat
  • chestercat
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myininaya
  • myininaya
get all your x one on side and y on the opposing side so we have xdy=4ydx dy/y=4dx/x
myininaya
  • myininaya
integrate both sides
myininaya
  • myininaya
lny=4lnx+C

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myininaya
  • myininaya
y=e^(lnx+C)
myininaya
  • myininaya
oops y=e^(4lnx+C)
anonymous
  • anonymous
The answer is y=cx^4
anonymous
  • anonymous
Just can't figure out how they got the x^4
myininaya
  • myininaya
y=e^(4lnx)e^C=x^4C
anonymous
  • anonymous
Thx I see thx a lot :)
myininaya
  • myininaya
ok

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