8. Use the method of Laplace transform to solve the initial value problemy" − 2ay' + a²y = (a − ß)²eßt,y(0) = 1 + a,y'(0) = aa + B + b.a = 1, b = 2, a = 10, ßB= 20.

Answered: Image /qna-images/answer/14a73461-6835-4f91-8c05-ac9d25385d1a.jpg

Answered: 8. Use the method of Laplace transform…

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

6. Use the Laplace Transform to solve the initial value problem. Show all necessary work: y" + 2y' - 3y = 0,y(0) = 2, y' (0) =
9. Use the method of Laplace transform to solve the initial value problem y" + B²y = (a² + 3²) eat, y (0) = 1 + a, y'(0) = a + b3.
Find the final amount of money in an account if $8,100 is deposited at 6.5% interest compounded quarterly every 3 months and the money is left for 5 years
6. Use the Laplace Transform to solve the initial value problem: y' +9y = e-tcos (2t), y(0) = 0
Can you solve in terms of thelaplace transform of Y(s) of the solution y(t)?
1. Please provide correct answers, thanks (laplace transform)
An equation of the form +2d²y dt2 dy +at dt + By = 0, t> 0, where a and ẞ are real constants, is called an Euler equation. α (a). Let x = Int and calculate dy/dt and d²y/dt² in terms of dy/dx and d²y/dx². (b) Show that one can use the results of part (a) to transform the original equation into d²y dy + (α − 1). dx² + By = 0. dx Observe now that the resulting differential equation has constant coefficients. (c) Show that if y₁(x) and y2(x) form a fundamental set of solutions of the latter equation in part (b), then y₁ (Int) and y2 (Int) form a fundamental set of solutions of the original equation. (d) Using all above observations to solve 1²y" + 4ty' + 2y = 0
Let a + 0, b + 0, c # 0, a # 0, B#0 and y # 0 represent any real nonzero constants, such that c > 0, a # B, a y and B # y. Let m >1 represent any positive integer.
8. Use the method of Laplace transform to solve the initial value problem y" - 2ay' + a²y = (a - B)² est, y (0) = 1 + a, y'(0) = aa + B + b. = a = 1, b = 2, a = 10, 3 = 20.

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. Use the method of Laplace transform to solve the initial value problem y" - 2ay' + a²y = (a - B)² est, y(0) = 1 + a, y' (0) = aa + B + b. a = 1, b = 2, a = 10, ß = 20.