This project is related to numerical solution to 1^st order ordinary differential equations. We will consider the following equation:

dy/dt = yt^2 - 1.1y

t = [0,2]

y(0) = 1

The exact solution is given by:

y(t) = e^(t^3/3 - 1)

solve the above differential equation using:

(1) Euler method (user-written)

(2) the built-in matlab ode23 solver

Plot the Eulers Method, ode23 and the exact solution on the same graph.