Consider the following ODE: dy 2xy dx y² sin(x) + x² cos(y) With y(20) = 1.6 for 20 ≤ x ≤ 70. A. Use ode45() to solve the ODE and plot y against x with a resolution of 0.001. B. Use the midpoint method to solve the ODE with step sizes h = 0.01, 0.05, 0.1. Use a for loop to go through each value of h. Plot each of these on the same figure produced in part A. Remember to include a legend. Observe the differences in =
Consider the following ODE: dy 2xy dx y² sin(x) + x² cos(y) With y(20) = 1.6 for 20 ≤ x ≤ 70. A. Use ode45() to solve the ODE and plot y against x with a resolution of 0.001. B. Use the midpoint method to solve the ODE with step sizes h = 0.01, 0.05, 0.1. Use a for loop to go through each value of h. Plot each of these on the same figure produced in part A. Remember to include a legend. Observe the differences in =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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