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In this example we will solve a 2.order differential equation with simulink. The method described in this example may be used to solve higher order ODEs simply by adding equally many integrator components (3.order would need 3 integrators). 

The spesific equation for this example is: One could easily change the constants or the right hand side of the equation to solve an infinite amount of equations. To solve the equation we rearrange the equation so the highest order of derivative is alone on L.H.S



The model used for this example is available for download (here ODE.slx). You may experiment with uncommenting the sine wave source for a more interesting solution.  

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