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How can we solve systems of IVPs with standard methods? Can we use the tools for first order IVPs to solve second order IVPs? What

How can we solve systems of IVPs with standard methods?

Can we use the tools for first order IVPs to solve second order IVPs?

What is a boundary value problem?

What is the idea behind the finite difference method?

What does it mean to discretize the boundary conditions?

Why (and when) is this needed? Why (and when) are sparse arrays convenient?

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