Question

PROBLEM 4 [Solving Ordinary Differential Equations] 

Solve the following ODE: 

\(\frac{d y}{d x}=1+\frac{x}{y} \quad y(1)=1\)

a) Using Euler's method, for 1≤x≤4 and a step of 0.5 

b) Using Euler's method, for  1≤x≤4 and a step of 0.25. 

c) Estimate your error in x-4 using the Richardson formula and provide an answer with the correct number of significant digits for y(4).

Answer 1