Numeric Methods v3.0.6

Added

• Euler Method Step-by-Step Derivation Panel (/methods/euler):
  • Added an academic "Daftarga ko'chirish uchun bosqichma-bosqich yechim" collapsible panel detailing Cauchy problem parameters, iterative arithmetic substitution for each step $i$, predictor-corrector calculations, and formatted copyable result tables.
  • Implemented dynamic analytical ODE solving for separable and 1st-order linear differential equations, computing exact closed-form solutions $y(x)$, exact values $y^*(x_i)$, and absolute error tracking.
  • Added informative status badges explaining when an ODE does not admit an elementary closed-form analytical solution.
  • Added localized Cauchy condition badges and refined step table localization (Takomillashgan Eyler / Heun).

Fixed

• Lagrange Interpolation Table Layout (/methods/lagrange):
  • Redesigned the node input table (PointTable) using fixed-width table layout and responsive input paddings to completely eliminate horizontal scrolling.
  • Balanced the section 01 input nodes table columns (w-1/3 text-center) to fix right-skewing and ensure symmetrical alignment.

Changed

• Navigation & Methods Hub Icons:
  • Assigned mathematically appropriate icons across navigation and the dashboard methods hub:
    • Haydash (Thomas/TDMA) Method: Updated to ArrowRightLeft representing forward and backward elimination sweep passes.
    • Lagrange Interpolation: Updated to Spline representing continuous polynomial curve fitting through interpolation nodes.
• Haydash (Thomas/TDMA) Method Workspace (/methods/sweep):
  • Refactored layout to follow spacious V2 layout conventions with separate dimension controls and streamlined coefficient matrices.