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2 cards from this section. Quick, good the night before a test.
What is the general form of a first-order ODE?
Think about how y changes with respect to x.
Define what Initial Value Problem (IVP) means.
What does the problem require to start solving?
What is the general form of a first-order ODE?
Consider what both variables represent in the equation.
Is an Initial Value Problem (IVP) advanced to solve without initial conditions?
What happens when you do not start with a specific point?
Create a first-order ODE from a real-world scenario, including an initial condition, and explain why the scenario is appropriately modeled by that ODE.
Think about a situation where everything has a rate of change.
Analyze how changing the step size affects the solution accuracy for a given IVP, using a specific example.
Run simulations with different sizes and compare the outcomes.
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