Euler’s method approximations

By the end you’ll be able to

• Approximate solution values for an initial-value problem using Euler’s method with a given step size.
• Compute successive Euler updates from $$\frac{dy}{dx}=f(x,y)$$ and organize the work in a table or sequence of steps.
• Interpret each Euler step as a local linear or tangent-line approximation to the true solution curve.