Solve the Pendulum problem 2θ¨=-2sinθ-3θ˙

Find the solutions and Graph

Answer 1

[Torsten]

Write your equation as a system of two first-order equations and use ode45 to solve.

Answer 2

[Sam Chak]

Hi @Nirupa

If you are determined to learn solving differential equations using MATLAB, there are various examples in the following links:

https://www.mathworks.com/help/symbolic/solve-a-single-differential-equation.html

https://www.mathworks.com/help/matlab/math/differential-equations.html

https://www.mathworks.com/help/matlab/ref/ode45.html

You will appreciate what MATLAB/Simulink and various useful toolboxes can do for you.

For my coursemates, who struggle with comprehending that can be equivalently rewritten as:

where and , I usually recommend the popular Polymath to them as a start for tackling differential equations with ease. It is a Graphical User Interface (GUI)-based math solver where the user simply needs to:

1. Enter a math problem (1st-order differential equations and initial values) in plain text, and
2. Press the 'Solve' button to get a numeric solution.