The ODE that leads to Figure 162 is y10y The exact solution
The ODE that leads to Figure 16.2 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 16.2 in dashed lines?
Solution
Using the Euler\'s method for the given function,
