Update ODE function naming per requirements

- Remove deprecation alias (no deprecation required)
- Rename solve_linear_ode to solve_linear_ode_system
- Rename LinearODE to SymbolicLinearODE
- Rename solve_IVP to solve_symbolic_IVP
- Remove ode-exports-cleanup.patch file
- Update all references in code, tests, and documentation

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>

Author: ChrisRackauckas

docs/src/manual/ode.md

@@ -28,7 +28,7 @@ The analytical solution can be investigated symbolically using `observed(sys)`.
     This area is currently under heavy development. More solvers will be available in the near future.
 
 ```@docs
-Symbolics.LinearODE
+Symbolics.SymbolicLinearODE
 ```
 
 ```@docs
@@ -38,12 +38,12 @@ Symbolics.symbolic_solve_ode
 ### Initial Value Problems
 
 ```@docs
-Symbolics.solve_IVP
+Symbolics.solve_symbolic_IVP
 ```
 
 ### Continuous Dynamical Systems
 ```@docs
-Symbolics.solve_linear_ode
+Symbolics.solve_linear_ode_system
 ```
 
 ### SymPy 

ode-exports-cleanup.patch

@@ -224,7 +224,7 @@ export symbolic_solve
 include("diffeqs/diffeqs.jl")
 include("diffeqs/systems.jl")
 include("diffeqs/diffeq_helpers.jl")
-export LinearODE, symbolic_solve_ode, solve_linear_ode, solve_IVP
+export SymbolicLinearODE, symbolic_solve_ode, solve_linear_ode_system, solve_symbolic_IVP
 
 # Sympy Functions
 

src/Symbolics.jl

@@ -67,7 +67,7 @@ function is_solution(solution, eq::Equation, x, t)
     is_solution(solution, eq.lhs - eq.rhs, x, t)
 end
 
-function is_solution(solution, eq::LinearODE)
+function is_solution(solution, eq::SymbolicLinearODE)
     is_solution(solution, get_expression(eq), eq.x, eq.t)
 end