👉 Setup math, also known as initial value problems, involves solving differential equations where the unknown function is determined by its initial conditions. This means you start with a specific value of the function at an initial point, typically denoted as \( t = t_0 \), and use this information to find the function's behavior over time or across a domain. For example, given \( \frac{dy}{dt} = f(t,y) \) and \( y(t_0) = y_0 \), the setup math would involve finding \( y(t) \) such that this equation holds true from \( t = t_0 \) onward. This approach is fundamental in modeling dynamic systems in physics, engineering, and other sciences where changes over time or space are studied.
