1. Find the inverse Laplace transform for the following;In(s)Y (s) =s2= -(+ In(s)) where y =[Hint: L[In(t)]using the frequency domain derivative property so that it matches the question.]Jo -e-* In(x)dx, try to manipulate the hint2(1 – e-58)+e-6sY(s) =s(s + 1)2(s+1)²

We need to find Inverse Laplace Transform of , Y(s) = ln(s)s2 We have given that , Lln(t) = -1sγ +…

Answered: 1. Find the inverse 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

Solve for the bottom Y(s)
Question 2: Calculate the inverse Laplace transform of the function F(s) = (s + 1)/(s^2 + 4s + 5).
Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . . , then L{t^f(t)} = (−1)n d^_F(s). dsn Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-15t}
5 i+ cos' (61)j + lIn (2r³)k. t – 2 Calculate the derivative of the function r(t) = -
Which of the following statement(s) are true? Choose only 2 statements. Lütfen bir ya da daha fazlasını seçin: O E- (3F(s) – 2} = 3L"'{F(s}} 38-4 O The inverse Laplace transform of F(s) is f(t) = 3e' cos (2t) – e' sin (2t). 82 2s+5 The function y1 =t° is a solution of the equation *y" – 3ty + 4y = 0, t>0. 1 By using reduction of order, we find a second linearly independent solution y2(t) = t Int. Suppose L{f(t)} = F(s), for some function f(t). Then, L{t f'(t)} = sF" (s) + 2F'(s) %3D %3D
1. If L{f(t)} = F(s) then L{f""(t)} is, A) s²F(s) sf (0) - f'(0) B) s²F(s)-sf'(0) - f (0) A) B) Statement I only Statement II only 2. Which of the following statements is/are true? I. The Laplace transform of y(V) is s4L(y) - s³y(0) - s²y' (0) - sy" (0) - y'" (0). II. When solved using Laplace transforms, a higher order linear ODE with constant coefficients with available initial conditions yields a general solution. C A) F(s) = B) F(s) = D) -s +3 1 + (s²2s1) s(s² - 2s-1) 1 s(s²2s1) C) D) s³ F(s) - s² f(0) - sf'(0) - f"(0) s³ F(s) - sf'(0) - f (0) 3. What is the Laplace transform of the differential equation and initial value conditions given below? y" - 2y' - y = 1; y(0) = -1; y'(0) = 1 Both statements None of the choices. C) F (s) D) F(s) C) D) = = s+1 (s²2s1) 1 (s²2s-1) 4. Which of the following initial value problem satisfy the given Laplace transform A) y" + y = 0; y(0) = 1; y'(0) = 0 B) y"+y=0; y(0) = 0; y'(0) = 1 + 1 s(s²2s1) L{f(t)} y" + y = 1; y(0) = 0; y'(0) = 0 y" + y = 1;…
solve the following questions * Q1\ find domain and rang of this function: 1 y = x2- 2 Q2\ find when y = vt3 ,t = Vs2 + 2 s = sinx dx
Which of the following is the inverse Laplace transform of the function F(s) = s+1/(s+1)^2+9? A.e^-t cos(3t) B. None C. e^t cos(3t) D. -e^t cos (3t) E. Cos(3t)

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

1. Find the inverse Laplace transform for the following; In(s) Y(s) = s2 [Hint: L[In(t)] = -}(y+In(s)) where y = using the frequency domain derivative property so that it matches the question.] S -e-* In(x)dx, try to manipulate the hint 2(1 – e-58) e-6s Y(s) = + s(s + 1)2 (s +1)2