# Matlab Sysmolic maths differential equation

• MATLAB
• SpartanG345
In summary, Matlab Symbolic Math Toolbox is a software package that allows users to perform symbolic mathematical computations. This includes solving algebraic equations, calculating derivatives and integrals, and manipulating mathematical expressions. It uses a computer algebra system and does not work with numerical values. To solve differential equations, the <code>dsolve</code> function can be used, which takes in the equation and initial conditions and returns the general and particular solutions. The <code>ezplot</code> function can also be used to plot solutions of a differential equation. Matlab Symbolic Math Toolbox also has a <code>dsolve</code> function for solving systems of differential equations. However, it is not meant for numerical computations and other Matlab toolboxes should
SpartanG345
Hi

is it possible to represent unknown functions eg x(t) in MATLAB equations ?

eg have f = x''
diff(f) = x'

or have a derivative represented via differential eg dx/dt

finally found it out for those who want to know

>> y = sym('y(t)')

y =

y(t)

>> f = diff(y,2) + diff(y,1) + y

f =

diff(y(t),\$(t,2))+diff(y(t),t)+y(t)

>> pretty(f)

/ 2 \
|d | /d \
|--- y(t)| + |-- y(t)| + y(t)
| 2 | \dt /
\dt /
>>

## 1. What is Matlab Symbolic Math Toolbox?

Matlab Symbolic Math Toolbox is a software package that allows users to perform symbolic mathematical computations, such as solving algebraic equations, calculating derivatives and integrals, and manipulating mathematical expressions. It uses a powerful computer algebra system to work with mathematical symbols rather than numerical values.

## 2. How can I solve differential equations using Matlab Symbolic Math Toolbox?

To solve differential equations using Matlab Symbolic Math Toolbox, you can use the dsolve function. This function takes in the differential equation and any initial conditions, and returns the general solution as well as any particular solutions if specified.

## 3. Can I plot the solutions of a differential equation using Matlab Symbolic Math Toolbox?

Yes, you can plot the solutions of a differential equation using the ezplot function in Matlab Symbolic Math Toolbox. This function takes in the equation or expression to plot, as well as the range of values for the independent variable.

## 4. Is it possible to solve systems of differential equations in Matlab Symbolic Math Toolbox?

Yes, Matlab Symbolic Math Toolbox has a dsolve function specifically for solving systems of differential equations. You can provide the equations and initial conditions as inputs, and it will return the general solutions for all the variables in the system.

## 5. Can I use Matlab Symbolic Math Toolbox to perform numerical computations?

No, Matlab Symbolic Math Toolbox is not designed for numerical computations. It is meant for working with mathematical symbols and performing symbolic computations. For numerical computations, you can use other Matlab toolboxes such as the Optimization Toolbox or the Statistics and Machine Learning Toolbox.

Replies
1
Views
1K
Replies
2
Views
1K
Replies
3
Views
4K
Replies
8
Views
647
Replies
5
Views
2K
Replies
8
Views
2K
Replies
1
Views
1K
Replies
2
Views
3K
Replies
4
Views
3K
Replies
4
Views
1K