Solve 2nd Order Non-homogeneous Differential Equation

Question

Colins V Jacob 2020-10-21

回答： Puru Kathuria 2020-10-27

I need to solve two DEs (as show in the image) to find their solution

The initial conditions are

x(0) = 0

dx/dt(0) = 0

θ(0)=0

dθ/dt=0

I would like to know how I can solve these equations in terms f, r and ω (which are variables in the MATLAB program).

The time span can be taken between 0 and 50 seconds.

Answer 1

Puru Kathuria 2020-10-27

Hi,

Please look at the relevant links that provides a similar step by step process that might meet your requirements.

Here is the link of the example that illustrates the process of solving second order differential equation with initial condition
example that demonstrates the steps to solve a system of differential equations
ode45