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#1 Re: Help Me ! » Uni Help: ODE » 2007-10-28 12:43:09

i got

2x + 4ln(2 + (4x +2y - 1)^1/2) - 2(4x +2y - 1)^1/2  + c = 0

Can someone confirm this?

And also show me a method to doing it. I did it a very complicated way , thats why i believe it is wrong

#2 Help Me ! » Uni Help: ODE » 2007-10-28 11:28:07

gaut
Replies: 2

dy/dx = (4x + 2y - 1)^1/2

Can someone please solve this?



question 2)

dy/dt= f(t,x) = (tx)^1/2   with the conidition that x(0) = 1

i)solve the given initial problem exactly for t>0, x>0.

ii) Set up picard's iteration scheme for the solution of that equation and find the first three picards approximations

X0(t), X1(t), X2(t)

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