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#1 2007-10-28 11:28:07
- gaut
- Member
- Registered: 2007-10-28
- Posts: 2
Uni Help: ODE
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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#2 2007-10-28 12:04:30
- JaneFairfax
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- Registered: 2007-02-23
- Posts: 6,868
Re: Uni Help: ODE
For the first equation, use the substitution u = 4x+2y−1.
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#3 2007-10-28 12:43:09
- gaut
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- Registered: 2007-10-28
- Posts: 2
Re: Uni Help: ODE
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
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