Use the shooting method to solve the boundary value problemy" + 9y = 0where y(0) = 1 and y(1.5) = 4. What is the correct initial value of y' (meaning, y' (t = 0)) that satisfies the boundaryconditions? Use the forward Euler method with a step size of 0.5.

If you need any clarification please reply

Answered: Use the shooting method to solve the…

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

y"-y = 2 – x², y(0) = 0, y(1) = 1 using the Euler method with h = 0.25 and the shooting method with tolerance = 10-3. Use ag = 0.1 and aj %3D 0.2 as the initial two appoximations to the unknown slope y (0).
Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error on y(0.2). (a) 0.000034 (b) 0.0000034 (c) 0.0000042 (d) 0.0000088
Use Euler's method with three steps to estimate g(2), where y(r) satisfies the initial value *(0) = 2 +y ar calculations, present their results in a table and clearly state your answer. calculators are not allowed! ya Step h = slope f(xn. Yn)
Use Euler's method to approximate the solution of the IVP y'=y+1 for Osts1 with y(0)=1 and step size h=0.1
Use variation of parameters to find the general solution y and the particular solution yp
Use the method of variation of parameters to produce a general solution of the inhomogenous equation y" + 2y' + y = x² +1
By experimenting with the fourth-order Runge-Kutta subroutine, find the maximum and minimum value over the interval [0.6,1.6] of the solution to the initial value problem below. Where does this maximum occur? y'=(2.8/(x^4))-y^2, y(0.6)=-1
Solve for general solution using the variation of parameter method x²y" – 2xy' + 2y = xFe* ) find the particular solution using y(1) = -1 and y'(1) = 2
Apply the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h=0.25. Show five-decimal-place values of the approximate solution and actual solution at the points x=0.25 and 0.5. y'=-3x2y, y(0)=6; y(x)=6e-x^3
Q1/ Apply the Range – Kutta Method to the initial value :(-5xª + 216x² – 1296) if 23 problem y' 107 Y (2.25) = to find Y(2.65) and correct to 3D) -0. 0049 (use h=0.05
F'= -12F + 3FH H'= 15H - 5FH
Use Euler's method with step sizes h = 0.1 and h = 0.05 to find approximate values of the solution of the initial value problem: y′ + 2y = x^3(e^−2x), y(0) = 7 at x = 0, 0.1, and 1.0 Compare these approximate values with the values of the exact solution: y = [e^(−2x/4)](x^4 + 4) Hint: Verify this exact solution by Linear 1st order solution method.

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

Use the shooting method to solve the boundary value problem y" + 9y = 0 where y(0) = 1 and y(1.5) = 4. What is the correct initial value of y' (meaning, y' (t = 0)) that satisfies the boundary conditions? Use the forward Euler method with a step size of 0.5.