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gfd43tg
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Homework Statement
Consider the following pair of coupled first order ODEs
[itex]\dot{y_{1}} = y_{2}[/itex] with ##y_{1}(0) = 1##
[itex]\dot{y_{2}} = -y_{1}[/itex] with ##y_{2}(0) = 1##
Use the Euler integration method with a step-size ##h = 1## and fill out the entries in the table below
[itex]\begin{bmatrix}
t_{k}&y_{1}(t_{k})&y_{2}(t_{k})\\
0 & &\\
1 & &\\
2 & &\\
3 & & -4\\
\end{bmatrix}[/itex]
Homework Equations
The Attempt at a Solution
Normally I understand how to do Euler's method, but of course now it's a coupled ODE so I am very confused how to do it. I know in general you do
##y_{k+1} = y_{k} + f(t_{k},y_{k})h##
But with the coupled ODE I am lost
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