The ODE that leads to Figure shown is $y' = 10y$. The exact solution satisfies $y(0) = 1$, and Euler’s method is applied with step size $h = 0.1$. What are the initial values $y(0)$ for the other two trajectories, depicted in Figure in dashed lines?
My attempt - I know how to do the forward Euler method $$y(h) = y_1 = y_0 + h*f(x_0, y_0)$$
So, we have $y_1 = 1 + 0.1(10*1) = 2$
Similarly, $y_2 = 2 + 0.1(10*2) = 4$
However, I do not know how to backtrack them to get $y(0)$ Any help is appreciated!