Calculus
First differential equations lab
A rate law, an initial value and a curve: compare a reference solution with Euler and Heun, step by step.
Step-by-step construction
Field, solution and numerical construction
Reference solutionExplicit EulerExplicit Heun
Touch the graph to inspect a local slope. The selected point does not change y₀. Play advances one step per second.
Finite view: off-scale curves are clipped, not set to zero. Sampled fields and graphs do not prove theorems.
How this step was calculated
Value table
Differences compare numerical values with formulas for the guided cases, not certified upper bounds. Rounding may display zero without exact equality. This is not a general CAS.