Numerical analysis question. Solve the question using python. Do NOT use in built libraries or functions.

Solve for the given differential equation and the starting point below using FOURTH DEGREE RUNGE-KUTTA METHOD. Let the time interval be 2 seconds.

1) Sketch the graphs of the solution you have found and the real solution.

2) Sketch the graph of error for N=10

dtdu=[0415]u u(0)=[11]