6. [5] (A) Use integration to solve the differential equation, dy dx 4 1+x' Note that...

Transcribed Image Text:

6. [5] (A) Use integration to solve the "differential equation", dy dx 4 1+x' Note that the value of the solution at x=1 is . y(0) = 0 (B) Get a numerical approximation to 7 by using Euler's Method to also solve this differential equation on the interval [0,1]. Use at least ten steps in your application of Euler. Plot the results along with the exact solution and compare the resulting values for . 6. [5] (A) Use integration to solve the "differential equation", dy dx 4 1+x' Note that the value of the solution at x=1 is . y(0) = 0 (B) Get a numerical approximation to 7 by using Euler's Method to also solve this differential equation on the interval [0,1]. Use at least ten steps in your application of Euler. Plot the results along with the exact solution and compare the resulting values for .