Consider a system given by the following first order differential equation:
$$ \frac{d y}{d t}=y+2 t-t^{2} $$
where, $y(0)=1$ and $0 \leq t<\infty$. Using a step size $h=0.1$ for the improved Euler method, the value of $y(t)$ at $t=0.1$ is $\_\_\_\_\_\_$ (rounded off to two decimal places).
