For the given differential equation,
with the initial condition y(0) = 1,
I am trying to find a solution using ODE45 method of MATLAB over the interval [0 5]. However, I noticed that the given equation is actually singular at the given initial point. Given the circumstances, how do you suggest I proceed?
What I have tried is that I can start the interval from 0 + δ for some δ < 1e-5. However, this would be a crude approximation. The equation is not differentiable at the point 0.
Thank you so much,