# HOW DO I DO THAT IN MATLAB SERIES?

In this series, I am answering questions that students have asked me about MATLAB. Most of the questions relate to a mathematical procedure.

## TOPIC

How do I solve a nonlinear equation?

## SUMMARY

```% Language : Matlab 2008a;
% Authors : Autar Kaw;
% Mfile available at
% http://numericalmethods.eng.usf.edu/blog/integration.m;
% Last Revised : March 28, 2009;
% Abstract: This program shows you how to solve a nonlinear equation.
clc
clear all
```

## INTRODUCTION

```disp('ABSTRACT')
disp('   This program shows you how to solve')
disp('   a nonlinear equation')
disp(' ')
disp('AUTHOR')
disp('   Autar K Kaw of http://autarkaw.wordpress.com')
disp(' ')
disp('MFILE SOURCE')
disp('   http://numericalmethods.eng.usf.edu/blog/nonlinearequation.m')
disp(' ')
disp('LAST REVISED')
disp('   April 11, 2009')
disp(' ')
```
```ABSTRACT
This program shows you how to solve
a nonlinear equation

AUTHOR
Autar K Kaw of http://autarkaw.wordpress.com

MFILE SOURCE
http://numericalmethods.eng.usf.edu/blog/nonlinearequation.m

LAST REVISED
April 11, 2009

```

## INPUTS

Solve the nonlinear equation x^3-15*x^2+47*x-33=0 Define x as a symbol

```syms x
% Assigning the left hand side of the equation f(x)=0
f=x^3-15*x^2+47*x-33;
```

## DISPLAYING INPUTS

```disp('INPUTS')
func=['  The equation to be solved is ' char(f), '=0'];
disp(func)
disp('  ')
```
```INPUTS
The equation to be solved is x^3-15*x^2+47*x-33=0

```

## THE CODE

```% Finding the solution of the nonlinear equation
soln=solve(f,x);
solnvalue=double(soln);
```

## DISPLAYING OUTPUTS

```disp('OUTPUTS')
for i=1:1:length(solnvalue)
fprintf('\nThe solution# %g is %g',i,solnvalue(i))
end
disp('  ')
```
```OUTPUTS

The solution# 1 is 1
The solution# 2 is 3
The solution# 3 is 11
```