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
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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.
. Consider the following first-order ODE:
dy
from x-0 to x=2.1 with y(0) = 2
%3D
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.
2. The analytical solution of the ODE is y =
2x3
+4.In each part, calculate
3.
the error between the true solution and the numerical solution at the points
where the numerical solution is determined.
Consider the following first-order ODE:
TRSUN
Transcribed Image Text:. Consider the following first-order ODE: dy from x-0 to x=2.1 with y(0) = 2 %3D 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. 2. The analytical solution of the ODE is y = 2x3 +4.In each part, calculate 3. the error between the true solution and the numerical solution at the points where the numerical solution is determined. Consider the following first-order ODE: TRSUN
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