Question

Find the general solution of the differential equation
dy/dt− 2y = 3e^2t

Answer 1

your P(x) is -2... that is your integrating factor

Answer 2

integral -2 dt is -2t, your integrating factor is e^(-2t)

Answer 3

e^/pdx

Answer 4

correct

Answer 5

/=integral

Answer 6

yeah

Answer 7

still dont understand...can you guys show me the details

Answer 8

then y*I.F=/q.I.F.dx

Answer 9

where are you caught up on?

Answer 10

do you know what the integrating factor is?

Answer 11

gud 1...;
)

Answer 12

no

Answer 13

one second

Answer 14

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

Answer 15

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

Answer 16

thank you so much:)

Answer 17

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).

Answer 18

can you help me?