Solve 2nd Order Non-homogeneous Differential Equation

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]

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