Question: (C) Use Euler's method to obtain a numerical solution of the differential equation y= 2yx, given the initial conditions that x = 1 when

(C) Use Euler's method to obtain a numerical solution of the differential

(C) Use Euler's method to obtain a numerical solution of the differential equation y= 2yx, given the initial conditions that x = 1 when y = 1, in the range x = 1.0 (0.1) 1.2. Work dx to an accuracy of 6 decimal places. If the exact solution of the given differential equation is y = 0.3 679 ex, determine the percentage error at x=1, 1.1 and 1.2. Do you think we need to use a smaller step size "h" in this problem? Explain your answer.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!