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Solving Differential Equations in Python: Higher order ODEs with solve_ivp

We look at how to break a second order ode into two couple first order ODEs so that these can be integrated using scipy's solve_ivp function.

From  Mark Naylor on April 30th, 2020 0 likes 4 plays 0  

Solving Differential Equations in Python: First order ODEs with solve_ivp

How to the SciPy solve_ivp function to integrate first oder ODEs in Python. The 'ivp' stands for Initial Value Problem which means it can be used to solve problems where we know all the…

From  Mark Naylor on April 15th, 2020 0 likes 12 plays 0  

Laplace transform Week 3 Example 1b: Stability of third order differential equation

Evaluate the stability of the third order ODE given by: x''' + 2x'' + 4x' + 8x = t exp(2t) with x(0)=x'(0) = 0 and x''(0)=1

From  Daniel Friedrich on November 6th, 2019 0 likes 79 plays 0  

Laplace transform Week 3 Example 1a: Laplace transform method for third order differential equation

Solve a third order ODE with the Laplace transform method. The initial value problem is given by: x''' + 2x'' + 4x' + 8x = t exp(2t) with x(0)=x'(0) = 0 and…

From  Daniel Friedrich on November 6th, 2019 0 likes 72 plays 0