anonymous
  • anonymous
Find the general solution of the differential equation dy/dt− 2y = 3e^2t
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
your P(x) is -2... that is your integrating factor
anonymous
  • anonymous
integral -2 dt is -2t, your integrating factor is e^(-2t)
anonymous
  • anonymous
e^/pdx

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anonymous
  • anonymous
correct
anonymous
  • anonymous
/=integral
anonymous
  • anonymous
yeah
anonymous
  • anonymous
still dont understand...can you guys show me the details
anonymous
  • anonymous
then y*I.F=/q.I.F.dx
anonymous
  • anonymous
where are you caught up on?
anonymous
  • anonymous
do you know what the integrating factor is?
anonymous
  • anonymous
gud 1...; )
anonymous
  • anonymous
no
anonymous
  • anonymous
one second
anonymous
  • anonymous
http://tutorial.math.lamar.edu/Classes/DE/Linear.aspx scroll down to example 1 (about 2/5 down the page) and try and follow that that will explain much better than i can do
anonymous
  • anonymous
http://www.google.co.in/url?sa=t&rct=j&q=integrating+factor&source=web&cd=2&ved=0CDQQFjAB&url=http%3A%2F%2Fwww.cse.salford.ac.uk%2Fprofiles%2Fgsmcdonald%2FH-Tutorials%2Fordinary-differential-equations-integrating-factor.pdf&ei=Q4U0T5HbEYO0rAesuNm6Dw&usg=AFQjCNFvygvLQkd45RlIDZAYaT8pi87x0g&cad=rja
anonymous
  • anonymous
thank you so much:)
anonymous
  • anonymous
another question here Suppose that y1(t) and y2(t) are both solutions to the differential equation dy/dt= a(t)y + b(t). Write down a linear differential equation satisfied by y1(t) + y2(t).
anonymous
  • anonymous
can you help me?

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