Using the Euler's Method a) write a function called "eulermethod" that will (1) print out the corresponding y-value for a given x-value and (2) a plot of the original function y(x) for the following differential equation: dv dx The function will receive: the initial conditions (i.e. xo and yo), the x-value and the step-size. Recall that the approximate solution for yn when x = xn is given by the following equation, where h is the step-size and F(x,y)=y': =1+ √y=x²y³ COMMENT SECTION Start with the function definition shown below: end Yn = Yn-1 +hF (xn-1 Yn-1) function eulermethod (x0, yo, x, h) Test your function by computing y(3), with y(0) = 2, and the step size is 0.001. b) Now, modify the function that you created in part a) such that the function now will also plot the rate of change dy/dx on the same graph, so that your graph should display both y(x) and dy/dx for 0≤x≤3. Include a legend in your graph.

Using the Euler's Method a) write a function called "eulermethod" that will (1) print out the corresponding y-value for a given x-value and (2) a plot of the original function y(x) for the following differential equation: dv dx The function will receive: the initial conditions (i.e. xo and yo), the x-value and the step-size. Recall that the approximate solution for yn when x = xn is given by the following equation, where h is the step-size and F(x,y)=y': =1+ √y=x²y³ COMMENT SECTION Start with the function definition shown below: end Yn = Yn-1 +hF (xn-1 Yn-1) function eulermethod (x0, yo, x, h) Test your function by computing y(3), with y(0) = 2, and the step size is 0.001. b) Now, modify the function that you created in part a) such that the function now will also plot the rate of change dy/dx on the same graph, so that your graph should display both y(x) and dy/dx for 0≤x≤3. Include a legend in your graph.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter6: Modularity Using Functions

Section6.4: A Case Study: Rectangular To Polar Coordinate Conversion

Problem 6E

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