Matlab code

%% #3 % % WRITE CODE BELOW: % Step 1: Write code to solve the ODE given by xf'(x)-2f(x)=0 on the % interval [1,5] where f(1)=0.5. Use the Midpoint Method with dx=0.5. % Step 2: The exact solution is 0.5 x^2. Plot the exact solution and your % solution on the same plot, (use different colors!) % Step 3: Label your plot % WRITE A COMMENT BELOW: % Does using the midpoint method on this problem seem more accurate than % using Euler's method on the previous problem? Explain. Make sure you % compare the plots with same dx value! % %% #3 % % WRITE CODE BELOW: % Step 1: Write code to solve the ODE given by xf'(x)-2f(x)=0 on the % interval [1,5] where f(1)=0.5. Use the Midpoint Method with dx=0.5. % Step 2: The exact solution is 0.5 x^2. Plot the exact solution and your % solution on the same plot, (use different colors!) % Step 3: Label your plot % WRITE A COMMENT BELOW: % Does using the midpoint method on this problem seem more accurate than % using Euler's method on the previous problem? Explain. Make sure you % compare the plots with same dx value! %