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[WIP] Symbolic ODE solver #1572

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[WIP] Symbolic ODE solver #1572

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f3b9477
Created basic solvers for 1st order separable eqs and linear systems
LordOfFrogs Jun 26, 2025
e55dc34
added rationalization to inverted matrix in solve_linear_system
LordOfFrogs Jun 26, 2025
129803b
integrated into Symbolics, restructured files
LordOfFrogs Jun 27, 2025
a5b7c51
added unit tests
LordOfFrogs Jun 27, 2025
d6daa7b
added display functionality for LinearODE
LordOfFrogs Jun 27, 2025
871fff4
implemented solver for homogeneous solutions (of degree 5 or less wit…
LordOfFrogs Jun 27, 2025
b7a6c2e
added solving via integrating factor (1st order ODEs)
LordOfFrogs Jun 27, 2025
ee8bc8e
added handling of repeated characteristic roots
LordOfFrogs Jun 28, 2025
2376fa9
implemented exponential response formula / resonant response formula
LordOfFrogs Jun 28, 2025
b4b0f1e
added solving particular solutions when q(t) includes sin or cos and …
LordOfFrogs Jun 30, 2025
9292ef4
added handling of complex characteristic roots
LordOfFrogs Jun 30, 2025
1d26ec5
slight refactoring and improved documentation
LordOfFrogs Jun 30, 2025
38c59a3
added method of undetermined coefficients
LordOfFrogs Jul 1, 2025
77f3994
added expression parsing
LordOfFrogs Jul 1, 2025
c1de7c1
updated cases handled
LordOfFrogs Jul 1, 2025
11bd108
added IVP
LordOfFrogs Jul 1, 2025
4c5400e
added method to solve Clairaut's equation
LordOfFrogs Jul 3, 2025
e1a8fb0
implemented solving bernoulli equations
LordOfFrogs Jul 4, 2025
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5 changes: 5 additions & 0 deletions src/Symbolics.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -218,6 +218,11 @@ include("solver/main.jl")
include("solver/special_cases.jl")
export symbolic_solve

# Diff Eq Solver
include("diffeqs/diffeqs.jl")
include("diffeqs/systems.jl")
export LinearODE, IVP, symbolic_solve_ode, solve_linear_system, solve_IVP

# Sympy Functions

"""
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