I have the following simple but nonlinear ODE system problem below:
$$\left\{ \begin{align} &f'(t)=a\cdot (1-f(t)-g(t))^{13/10}\tag{1}\\ &g'(t)=b \cdot f(t) \tag{2}\\ &f(0)=0,\quad g(0)=0,\quad a,b\in \mathbb{R},t\in[0,1000]\\ \end{align} \right.$$
I tried to solve it in Maple, the solver gives result without initial or boundary conditions but does not solve it with ibcs.
How to obtain the exact solution with IBCs?