You can the following df equations:

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! % % a) Define an anonymous function dfl(x,y) = -y % b) Define an anonymous function df2 (x,y) 2*y/x % c) Define an anonymous function df3(x,y) [10* (y (2)-y (1)); % y (1) * (28-y (3))-y (2); y (1) *y (2) -8/3*y (3) ] olo oo %% #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! % % a) Define an anonymous function dfl(x,y) = -y % b) Define an anonymous function df2 (x,y) 2*y/x % c) Define an anonymous function df3(x,y) [10* (y (2)-y (1)); % y (1) * (28-y (3))-y (2); y (1) *y (2) -8/3*y (3) ] olo oo