Consider the following first-order ODE: dy x2 from x=0 to x=2.1 with y(0) = 2 y dx a. Solve with Euler's explicit method using h=0.70. b. Solve with the modified Euler method using h=0.70. C. Solve with the classical fourth-order Runge-Kutta method using h=0.70. 2x3 The analytical solution of the ODE is y = + 4.In each part, calcula %3D 3 the error between the true solution and the numerical solution at the points where the numerical solution is determined. SITY
Consider the following first-order ODE: dy x2 from x=0 to x=2.1 with y(0) = 2 y dx a. Solve with Euler's explicit method using h=0.70. b. Solve with the modified Euler method using h=0.70. C. Solve with the classical fourth-order Runge-Kutta method using h=0.70. 2x3 The analytical solution of the ODE is y = + 4.In each part, calcula %3D 3 the error between the true solution and the numerical solution at the points where the numerical solution is determined. SITY
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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the analytical solution of the ODE is
y=√2x³ / 3 + 4. in each part, calculate the error between the tru solution and the numerical solution at the points where the numerical solution is determined.
Number 2 in the picture.
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