d²ydt²Order Method:(c) y (0.5)(d) (0.5)dtUse a step size of h = 0.25dd (0) = 2, Find by Runge-Kutta Fourth8. Given: +2+y=et, y(0) = 1 and

Answered: Image /qna-images/answer/5f970ef0-7e84-42b1-88b1-ab15bed12b5f.jpg

Answered: 8. Given: 2+2+ y = et, y(0) = 1 and (0)…

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

Similar questions

Given the function : f(x) = x³ + 5x² + 7x − 20; solve using Bisection Method with initial values of (1.000, 2.000) 1st iteration xn = 1.000 xp = 2.000 xnew = 1.500 2nd iteration xn = 1.000 xp = 1.500 xnew = 1.250 3rd iteration xn = 1.250 xp = 1.500 xnew = 1.375 4th iteration xn = 1.250 xp = 1.375 xnew = 1.312 5th iteration xn = 1.250 xp = 1.312 xnew = 1.281 f(xn) = -7.000 f(xp) = 22.000 f(xnew) = 5.125 f(x) = -7.000 f(xp) = 5.125 f(xnew) = -1.484 f(xn) = -1.484 f(xp) = 5.125 f(xnew) = 1.678 f(xn) = -1.484 f(xp) = 1.676 f(xnew) = 0.049 f(x) = -1.484 f(xp) = 0.049 f(xnew) = -0.726
Next, we must find the total distance traveled by the particle in the given time interval. This is different than displacement, which only measures the difference between the beginning and end points. There may be positive distance and negative distance traveled that cancel each other out in the net change. Recall that when v(t) < 0, the particle moves to the left, and when v(t) 2 0, the particle moves to the right. Therefore, to calculate the total distance traveled, we must integrate the absolute value of velocity, Iv(t)|. First, find the values of t such that v(t) < 0. v(t) s o 9t - 4 s 0 ts Therefore, Iv(t)| = -v(t) when v(t) is negative, which within the given time interval is 0 sts Similarly, Iv(t)| = v(t) when v(t) is positive, which within the given time interval is sts 3.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

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…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

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…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

8. Given: 2+2+ y = et, y(0) = 1 and (0) = 2, Find by Runge-Kutta Fourth Order Method: (c) y(0.5) (d) d (0.5) dt Use a step size of h = 0.25