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Eulers Method IVP help.

Iancar29 · 2014-04-14 19:05:59

Use eulers method to obtain an approximate to the following IVP which dx/dt = 1 +( t-x)^2 ; h = 0.5 x(2) = 1 1≤ t ≤ 3 So i know the formula is. tn = t(n-1) + f(tn-1,xn-1 )h . I can do the ones with say x(o) = 1 . But i dunno where to go with x(2) =1 ... and what the 1≤ t ≤ 3 has to do with things. How many iterations are…

14-04-2014 7:05pm

#1

Iancar29

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Use eulers method to obtain an approximate to the following IVP which

dx/dt = 1 +( t-x)^2 ; h = 0.5

x(2) = 1

1≤ t ≤ 3

So i know the formula is.

tn = t(n-1) + f(tn-1,xn-1 )h .

I can do the ones with say x(o) = 1 .

But i dunno where to go with x(2) =1 ... and what the 1≤ t ≤ 3 has to do with things. How many iterations are needed ?

Any help much appreciated guys

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