Can anyone please help with parts b and c of the question be

Can anyone please help with parts b) and c) of the question below.

Consider the following Ordinary Differential Equation (ODE): dx/dt = t + x +tx, x(0) = 1. Using this equation and its initial condition answer the following questions. Write out the iterative scheme that can be used to solve this ODE using Euler\'s method. What changes would you need to make if you want to implement a Runge-Kutta (RK4) method instead of Euler\'s method? Euler method is an O(h) method and Runge-Kutta (RK4) is an O(h^4) method - what does this mean?

Solution

I am sending the link via google drive

https://drive.google.com/open?id=0B1j-Nlh5wh4XVzcyWmNlbTE1VDQ