# How do you differentiate an equation in MATLAB?

## How do you differentiate an equation in MATLAB?

Differentiation

1. syms x f = sin(5*x); The command.
2. diff(f) differentiates f with respect to x :
3. ans = 5*cos(5*x) As another example, let.
4. g = exp(x)*cos(x);
5. y = exp(x)*cos(x) – exp(x)*sin(x)
6. ans = -9.7937820180676088383807818261614.
7. ans = -2*exp(x)*sin(x)
8. ans = -2*exp(x)*sin(x)

Can you use MATLAB to solve differential equations?

You can solve the differential equation by using MATLAB® numerical solver, such as ode45 . For more information, see Solve a Second-Order Differential Equation Numerically.

How do you simulate a differential equation in MATLAB?

Build the Model

1. Add a Math Function block and connect the input to signal B . Set the Function parameter to square .
2. Connect the output from the Math Function block to a Gain block. Set the Gain parameter to 3e7 .
3. Continue to add the remaining differential equation terms to your model.

### What is ordinary differential equation in MATLAB?

The Ordinary Differential Equation (ODE) solvers in MATLAB® solve initial value problems with a variety of properties. The solvers can work on stiff or nonstiff problems, problems with a mass matrix, differential algebraic equations (DAEs), or fully implicit problems. For more information, see Choose an ODE Solver.

What does Syms mean in MATLAB?

The syms function creates a symbolic object that is automatically assigned to a MATLAB® variable with the same name. The sym function refers to a symbolic object that can be assigned to a MATLAB variable with the same name or a different name.

What is MATLAB Odefun?

Function handle that can serve as input argument to all numerical MATLAB ODE solvers, except for ode15i , returned as a MATLAB function handle. odeFunction returns a function handle suitable for the ODE solvers such as ode45 , ode15s , ode23t , and others.

#### What does ode15s mean in MATLAB?

ode15s is a variable-step, variable-order (VSVO) solver based on the numerical differentiation formulas (NDFs) of orders 1 to 5. Optionally, it can use the backward differentiation formulas (BDFs, also known as Gear’s method) that are usually less efficient. Like ode113 , ode15s is a multistep solver.

Why do we use Syms?

Use syms to create a symbolic variable that is assigned to a MATLAB variable with the same name. You get a fresh symbolic variable with no assumptions. If you declare a variable using syms , existing assumptions are cleared.