Plotting a Differential equation

I want to plot solution of differential equation which behaves differently at different time interval.

For eg, dh/dt=h^2-f(t)*h Where f(t)=t for [0,3] and f(t)=1 for [3,10].

h(0)=15

How can I plot the solution of differential equation in same plot from [0,10]

Answer 1

[Star Strider]

You need to integrate it on [0 3] with ‘f(t)=t’ and ‘h(0)=15’, then integrate it on [3 10] with ‘f(t)=1’, and ‘h(0)=h(3)’ from the previous integration.

The ODE numerical integration functions do not handle integrating across significant discontinuities, so separate integrations over the two time intervals are required.