Euler's method requires $f(t,y)$. What's the $f(t,y)$ function in this assignment? $q(t)$ and $p(t)$ are vectors. How am I supposed to apply them in Euler's method?
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Usually, yes, the general formulation of Euler's method uses some $f(t,y)$. If you want to understand it will enough to set it up yourself, however, what's more important to think about and focus on is what's on the other side of that equality sign: $y'(t)$. What is $y$? Once you have a good answer to that, you can just differentiate and find your $f$. – Arthur Jul 26 '19 at 21:25
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Your unknown functions are $q_1,q_2,p_1,p_2$ the text already gives you a system of differential equations for these functions \begin{align} \dot{q}_1(t) &= p_1(t)\\ \dot{q}_2(t) &= p_2(t) \\ \dot{p}_1(t) &=\frac{-1}{\big(q_1(t)^2 + q_2(t)^2\big)^\frac{3}{2}} q_1(t) \\ \dot{p}_2(t) &= \frac{-1}{\big(q_1(t)^2 + q_2(t)^2\big)^\frac{3}{2}} q_1(t) \end{align} So your $y(t)$ is $\left[\begin{smallmatrix} q_1(t) \\ q_2(t) \\ p_1(t) \\ p_2(t) \end{smallmatrix}\right]$ and $f(t,y)$ is given by the right hand side of the differential equation.
Nathanael Skrepek
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