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ODE45/ODE15 inquiry about nonlinear spring

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Is there anyone can help me on how to get an ODE45/ODE15 program to solve the above equation?
I want to get the value of y1 and y2.

Accepted Answer

Star Strider
Star Strider on 25 Nov 2021
Since the system appears to describe a differential-algebraic equation, see the documentation section on Solve Differential Algebraic Equations (DAEs) that describes how to set it up symbolically in order to use ode15i to integrate it numerically.
haohaoxuexi1 on 25 Nov 2021
Can you provide me with an example with second order derivative?
Star Strider
Star Strider on 26 Nov 2021
Use the odeToVectorField function. The documentation should provide all the necessary examples.

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More Answers (1)

KSSV on 25 Nov 2021
  1 Comment
haohaoxuexi1 on 25 Nov 2021
Edited: haohaoxuexi1 on 25 Nov 2021
Would you mind to take a look at my equation?
I don't have the second order derivative term in equation#1.
And if possible, please tell me how to code it in ODE45/ODE15 to achieve my purpose?
In your example, you have theta and X, both of them have second order derivative term.

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