(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the ODE [tex]\frac{df}{dt}=f[/tex] and the boundary condition [tex]f(0)=1[/tex]

One approximate solution is [tex]f_{a}=1+\sum ^{3}_{k=1} a_{k}t^k[/tex] where [tex]0\leq t\leq1[/tex]

Using the Galerkin's method find the coeficents [tex]a_{k}[/tex]

2. Relevant equations

3. The attempt at a solution

I don't think I've understood how to use the method really. So if someone could explain it briefly. Another thing that is mentioned in the book is that the basis funktions are not orthogonal on this interval. So that can not be imposed

Thanks

/Simon

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# Homework Help: Solving an ODE using Galerkin's method

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