Varying value of stiffness

I have a problem trying to find a solution for the following equation,

I have a differential equation with a variant stiffness: K(t)

therefore:

mx''+k(t)x=F(t)

Any proposition for how to solve it ?

Thankyou

[David Wilson]

Try one of the standard ode solvers, say ode45. You of course will need to convert your problem to Cauchy form from a single 2nd order system to two first-order systems.

See odetovectorfield in the symbolic toolbox, although trivial by hand.

You will also need to know the exact form of k(t), and F(t), and the two initial conditions.

Answer 1

[KSSV]

You may refer this: https://in.mathworks.com/matlabcentral/fileexchange/34381-mathieu-equation-parametric-oscillator