Struct EducationalPDESolver 

pub struct EducationalPDESolver { /* private fields */ }

Educational PDE solver that provides step-by-step explanations

Examples

use mathhook_core::calculus::pde::educational::wrapper::EducationalPDESolver;
use mathhook_core::{symbol, expr};

let solver = EducationalPDESolver::new();
let u = symbol!(u);
let x = symbol!(x);
let t = symbol!(t);

let equation = expr!(u + x + t);
let (result, explanation) = solver.solve_pde(&equation, &u, &[x, t]);

assert!(!explanation.steps.is_empty());

Implementations

impl EducationalPDESolver

pub fn new() -> Self

Create a new educational PDE solver

Examples

use mathhook_core::calculus::pde::educational::wrapper::EducationalPDESolver;

let solver = EducationalPDESolver::new();

pub fn solve_pde( &self, equation: &Expression, variable: &Symbol, independent_vars: &[Symbol], ) -> (SolverResult, StepByStepExplanation)

Solve PDE with detailed educational steps

Examples

use mathhook_core::calculus::pde::educational::wrapper::EducationalPDESolver;
use mathhook_core::{symbol, expr};

let solver = EducationalPDESolver::new();
let u = symbol!(u);
let x = symbol!(x);
let t = symbol!(t);

let equation = expr!(u + x);
let (result, explanation) = solver.solve_pde(&equation, &u, &[x, t]);

// Educational explanation is always provided
assert!(!explanation.steps.is_empty());

Trait Implementations

impl Default for EducationalPDESolver

fn default() -> Self

Returns the “default value” for a type.

impl EquationSolver for EducationalPDESolver

Implement the EquationSolver trait for integration with SmartEquationSolver

fn solve(&self, equation: &Expression, variable: &Symbol) -> SolverResult

Solve equation for given variable

fn solve_with_explanation( &self, equation: &Expression, variable: &Symbol, ) -> (SolverResult, StepByStepExplanation)

Solve with step-by-step explanation

fn can_solve(&self, equation: &Expression) -> bool

Check if solver can handle this equation type