Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Consider the ODE With the initial condition that y=1 when x = 1. Show that the particular solution is y=(lnx² + x³ +2). b. Use the 2nd, 3rd and 4 Runge-Kutta methods to approximate the value of y at x = 2 using a step size of h = 0.1. Complete the table below. RK Method Step size Approx. value of y Abs. Err. Rel. Abs. Err. (%) RK-2 a. RK-5 RK-4 0.1 0.1 y² + ²y = 23 +1 0.1 Show sample of computation below (and attach soft copy of Excel computation).

Consider the ODE With the initial condition that y=1 when x = 1. Show that the particular solution is y=(lnx² + x³ +2). b. Use the 2nd, 3rd and 4 Runge-Kutta methods to approximate the value of y at x = 2 using a step size of h = 0.1. Complete the table below. RK Method Step size Approx. value of y Abs. Err. Rel. Abs. Err. (%) RK-2 a. RK-5 RK-4 0.1 0.1 y² + ²y = 23 +1 0.1 Show sample of computation below (and attach soft copy of Excel computation).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Please make sure the answer is correct. thank you

1. Consider the ODE With the initial condition that y=1 when x = 1. LA3.3 Numerical Methods for Solving ODE Runge-Kutta Method a. Show that the particular solution is y=- (In x² + x³ + 2). 1 3x-2 RK-2 b. Use the 2nd, 3rd and 4th Runge-Kutta methods to approximate the value of y at x = 2 using a step size of h = 0.1. Complete the table below. RK-3 RK Method Step size Approx. value of y Abs. Err. Rel. Abs. Err. (%) RK-4 2 y² + ²y = 3³+ y' 0.1 +1 0.1 0.1 Show sample of computation below (and attach soft copy of Excel computation).
Transcribed Image Text:1. Consider the ODE With the initial condition that y=1 when x = 1. LA3.3 Numerical Methods for Solving ODE Runge-Kutta Method a. Show that the particular solution is y=- (In x² + x³ + 2). 1 3x-2 RK-2 b. Use the 2nd, 3rd and 4th Runge-Kutta methods to approximate the value of y at x = 2 using a step size of h = 0.1. Complete the table below. RK-3 RK Method Step size Approx. value of y Abs. Err. Rel. Abs. Err. (%) RK-4 2 y² + ²y = 3³+ y' 0.1 +1 0.1 0.1 Show sample of computation below (and attach soft copy of Excel computation).
Expert Solution
steps

Step by step

Solved in 8 steps with 10 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS