Solve an ODE using NGSolve

Hello everyone

The following equation is an Ordinary Differential Equation (ODE) that I’d like to solve using FEM


The dot denotes the derivative with respect to time (t). If we consider this within one element [t_0, t_1], in weak formulation, we have


Now, how can I impose the initial condition within NGSolve? Specifically, how can I define the first term on the left-hand side (similar to the second one on the right-hand side)?

I would appreciate your guidance, whether through an answer or by referencing a similar example.