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solve algebraic and differential equations

you can solve algebraic equations, differential equations, and differential algebraic equations (daes).

solve algebraic equations to get either exact analytic solutions or high-precision numeric solutions. for analytic solutions, use solve, and for numerical solutions, use vpasolve. for solving linear equations, use linsolve. these solver functions have the flexibility to handle complicated problems. see .

solve differential equations by using . create these differential equations by using symbolic functions. see .

solve differential algebraic equations (daes) by first reducing their differential index to 1 or 0 using symbolic math toolbox™ functions, and then using matlab® solvers, such as ode15i, ode15s, or ode23t. see .

live editor tasks

find analytic solutions of symbolic equations in live editor

functions

convert linear equations to matrix form
eliminate variables from rational equations
functional inverse
isolate variable or expression in equation
solve linear equations in matrix form
poles of expression or function
solveequations and systems solver
solve symbolic equations numerically
solve system of differential equations
extract mass matrix and right side of semilinear system of differential algebraic equations
convert symbolic expressions to function handle for ode solvers
reduce order of differential equations to first-order
convert system of differential algebraic equations to matlab function handle suitable for ode15i
find consistent initial conditions for first-order implicit ode system with algebraic constraints
search for decoupled blocks in systems of equations
find incidence matrix of system of equations
check if differential index of system of equations is lower than 2
extract mass matrix and right side of semilinear system of differential algebraic equations
convert symbolic expressions to function handle for ode solvers
convert system of first-order differential algebraic equations to equivalent system of differential index 1
convert system of first-order semilinear differential algebraic equations to equivalent system of differential index 0
reduce system of higher-order differential equations to equivalent system of first-order differential equations
simplify system of first-order differential algebraic equations by eliminating redundant equations and variables
extract coefficients of partial differential equation
convert symbolic pde coefficients to double format

topics


  • solve equations analytically, return full solutions, and visualize results.


  • solve a differential equation analytically by using the dsolve function, with or without initial conditions.


  • this example show how to solve differential algebraic equations (daes) by using matlab® and symbolic math toolbox™.

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