Numerical investigation: accepted work and defensible error: changed case
Address this changed case in a fresh argument. Explain which earlier conclusions survive and which require new evidence. This is public practice with available guidance; it is not an untouched examination. Your responses and guidance exposure are stored separately from the main project.
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Separate transfer: change the forcing, not just the parameter
Start a separate retained investigation for y′=−λ(y−t³)+3t², y(0)=1 on [0,1]. Derive its exact solution and an independent bound M=6+λ² before reusing any error code. Recompute the λ=4,h=1/4 first trial and both certificate substeps; keep initial k=2 and compare tol=1/2 with 1/16. Adapt the oracle and tests, then execute or audit at least one fixed and one adaptive completed run and one named failure using the same resource/work contract. Explain precisely which proofs survive and which constants/calculations must change. Retain this separately; the displayed solution is public, and a reviewer may set a further unfamiliar forcing.
Structure your argument and preserve revisions
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Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
Review, defend and revise
Ask a reviewer to examine the complete reasoning, reproduce selected results and pose an unfamiliar case. Record their feedback against the specific revision discussed. Reviewer labels are entered locally and do not verify identity or judgment. A complete set of text submissions does not certify an independently defended investigation.
Targeted lesson returns
Separate transfer: change the forcing, not just the parameter
